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Compare two sentences word by word and return the number of word matches considering different word forms

Thanks to Nina I have a code to compare two sentences word by word and return the number of word matches like this:
function includeWords(wanted, seen) {
var wantedMap = wanted.split(/\s+/).reduce((m, s) => m.set(s, (m.get(s) || 0) + 1), new Map),
wantedArray = Array.from(wantedMap.keys()),
count = 0;
seen.split(/\s+/)
.forEach(s => {
var key = wantedArray.find(t => s === t || s.length > 3 && t.length > 3 && (s.startsWith(t) || t.startsWith(s)));
if (!wantedMap.get(key)) return;
console.log(s, key)
++count;
wantedMap.set(key, wantedMap.get(key) - 1);
});
return count;
}
let matches = includeWords('i was sent to earth to protect you introduced', 'they\'re were protecting him i knew that i was aware introducing');
console.log('Matched words: ' + matches);
The code works fine, but there is still one issue:
What if we want to return a match for introduced and introducing too?

If you want the program to consider the words 'introduce' and 'introducing' as a match, it would amount to a "fuzzy" match (non binary logic). One simple way of doing this would require more code, the algorithm of which would possibly resemble
Take 2 words that you wish to match, tokenize into ordered list
of letters
Compare positionally the respective letters, i.e
match a[0]==b[0]? a[1]==b[1] where a[0] represents the first letter
of the first word and b[0] represents the first tokenized
letter/character potential match candidate
KEep a rolling numeric count of such positional matches. In this case it is 8 (introduc).
divide by word length of a = 8/9 call this f
divide by word length of b = 8/11 call this g
Provide a threshold value beyond which the program will consider it a match. eg. if you say anything above 70% in BOTH f and g can be
considered a match - viola, you have your answer!
Please note that there is some normalization also needed to prevent low length words from becoming false positives. you can add a constraint that the aforementioned calculation applies to words with at least 5 letters(or something to that effect!
Hope this helps!!
Regards,
SR

You could calculate similarites for a word pair and get a relation how many characters are similar bei respecting the length of the given word and the wanted pattern.
function getSimilarity(a, b) {
var i = 0;
while (i < a.length) {
if (a[i] !== b[i]) break;
i++;
}
return i / Math.max(a.length, b.length);
}
console.log(getSimilarity('abcdefghij', 'abc')); // 0.3
console.log(getSimilarity('abcdefghij', 'abcdef')); // 0.6
console.log(getSimilarity('abcdefghij', 'abcdefghij')); // 1
console.log(getSimilarity('abcdef', 'abcdefghij')); // 0.6
console.log(getSimilarity('abcdefghij', 'abcdef')); // 0.6
console.log(getSimilarity('abcdefghij', 'xyz')); // 0
console.log(getSimilarity('introduced', 'introducing')); // 0.7272727272727273

Here's a quick fix solution.
It's not intended as a complete solution.
Since the English language has more than a few quirks that would almost require an AI to understand the language.
First add a function that can compare 2 words and returns a boolean.
It'll also make it easier to test for specific words, and adapt to what's really needed.
For example, here's a function that does the simple checks that were already used.
Plus an '...ed' versus '...ing' check.
function compareWords (word1, word2) {
if (word1 === word2)
return true;
if (word1.length > 3 && word2.length > 3) {
if (word1.startsWith(word2) || word2.startsWith(word1))
return true;
if (word1.length > 4 && word2.length > 4) {
if (/(ing|ed)$/.test(word1) && word1.replace(/(ing|ed)$/, 'inged') === word2.replace(/(ing|ed)$/, 'inged'))
return true;
}
}
return false;
}
//
// tests
//
let words = [
["same", "same"],
["different", "unsame"],
["priced", "pricing"],
["price", "priced"],
["producing", "produced"],
["produced", "producing"]
];
words.forEach( (arr, idx) => {
let word1= arr[0];
let word2= arr[1];
let isSame = compareWords(word1, word2);
console.log(`[${word1}] ≈ [${word2}] : ${isSame}`);
});
Then use it in the code you already have.
...
seen.split(/\s+/)
.forEach(s => {
var key = wantedArray.find(t => compareWords(t, s));
...
Regarding string similarity, here's f.e. an older SO post that has some methods to compare strings : Compare Strings Javascript Return %of Likely

I have implemented this, it seems to work fine. any suggestions would be appreciated..
let speechResult = "i was sent to earth to introducing protect yourself introduced seen";
let expectSt = ['they were protecting him knew introducing that you i seen was aware seen introducing'];
// Create arrays of words from above sentences
let speechResultWords = speechResult.split(/\s+/);
let expectStWords = expectSt[0].split(/\s+/);
function includeWords(){
// Declare a variable to hold the count number of matches
let arr = [];
for(let a = 0; a < speechResultWords.length; a++){
for(let b = 0; b < expectStWords.length; b++){
if(similarity(speechResultWords[a], expectStWords[b]) > 69){
arr.push(speechResultWords[a]);
console.log(speechResultWords[a] + ' includes in ' + expectStWords[b]);
}
} // End of first for loop
} // End of second for loop
let uniq = [...new Set(arr)];
return uniq.length;
};
let result = includeWords();
console.log(result)
// The algorithmn
function similarity(s1, s2) {
var longer = s1;
var shorter = s2;
if (s1.length < s2.length) {
longer = s2;
shorter = s1;
}
var longerLength = longer.length;
if (longerLength == 0) {
return 1.0;
}
return (longerLength - editDistance(longer, shorter)) / parseFloat(longerLength)*100;
}
function editDistance(s1, s2) {
s1 = s1.toLowerCase();
s2 = s2.toLowerCase();
var costs = new Array();
for (var i = 0; i <= s1.length; i++) {
var lastValue = i;
for (var j = 0; j <= s2.length; j++) {
if (i == 0)
costs[j] = j;
else {
if (j > 0) {
var newValue = costs[j - 1];
if (s1.charAt(i - 1) != s2.charAt(j - 1))
newValue = Math.min(Math.min(newValue, lastValue),
costs[j]) + 1;
costs[j - 1] = lastValue;
lastValue = newValue;
}
}
}
if (i > 0)
costs[s2.length] = lastValue;
}
return costs[s2.length];
}

Sum in base-12 javascript [duplicate]

I would like to convert numbers between different bases, such as hexadecimal and decimal.
Example: How do you convert hexadecimal 8F to decimal?

The API
To convert to a number from a hex string:
parseInt(string, radix)
string: Required. The string to be parsed
radix: Optional. A number (from 2 to 36) that represents the numeral system to be used
To convert from a number to a hex string:
NumberObject.toString(radix)
radix: Optional. Specifies the base radix you would like the number displayed as.
Example radix values:
2 - The number will show as a binary value
8 - The number will show as an octal value
16 - The number will show as an hexadecimal value
Example Usage
Integer value to hex:
var i = 10;
console.log( i.toString(16) );
Hex string to integer value:
var h = "a";
console.log( parseInt(h, 16) );
Integer value to decimal:
var d = 16;
console.log( d.toString(10) );

Update 2023-01-05: Now supports large numbers and floats via https://github.com/ryansmith94/baseroo
I came to this post needing to convert from base 10 to 62 and vice-versa. Whilst the solutions here are great, parseInt and toString only support base 2 to 36. So if anyone finds themselves in a similar position to me needing base 2 to 62, I've pasted my solution below.
function convertBase(value, from_base, to_base) {
var range = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ+/'.split('');
var from_range = range.slice(0, from_base);
var to_range = range.slice(0, to_base);
var dec_value = value.split('').reverse().reduce(function (carry, digit, index) {
if (from_range.indexOf(digit) === -1) throw new Error('Invalid digit `'+digit+'` for base '+from_base+'.');
return carry += from_range.indexOf(digit) * (Math.pow(from_base, index));
}, 0);
var new_value = '';
while (dec_value > 0) {
new_value = to_range[dec_value % to_base] + new_value;
dec_value = (dec_value - (dec_value % to_base)) / to_base;
}
return new_value || '0';
}

You may try the following code, which also supports arbitrary precision numbers (larger than 2^53).
function convertBase(str, fromBase, toBase) {
const DIGITS = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ+/";
const add = (x, y, base) => {
let z = [];
const n = Math.max(x.length, y.length);
let carry = 0;
let i = 0;
while (i < n || carry) {
const xi = i < x.length ? x[i] : 0;
const yi = i < y.length ? y[i] : 0;
const zi = carry + xi + yi;
z.push(zi % base);
carry = Math.floor(zi / base);
i++;
}
return z;
}
const multiplyByNumber = (num, x, base) => {
if (num < 0) return null;
if (num == 0) return [];
let result = [];
let power = x;
while (true) {
num & 1 && (result = add(result, power, base));
num = num >> 1;
if (num === 0) break;
power = add(power, power, base);
}
return result;
}
const parseToDigitsArray = (str, base) => {
const digits = str.split('');
let arr = [];
for (let i = digits.length - 1; i >= 0; i--) {
const n = DIGITS.indexOf(digits[i])
if (n == -1) return null;
arr.push(n);
}
return arr;
}
const digits = parseToDigitsArray(str, fromBase);
if (digits === null) return null;
let outArray = [];
let power = [1];
for (let i = 0; i < digits.length; i++) {
digits[i] && (outArray = add(outArray, multiplyByNumber(digits[i], power, toBase), toBase));
power = multiplyByNumber(fromBase, power, toBase);
}
let out = '';
for (let i = outArray.length - 1; i >= 0; i--)
out += DIGITS[outArray[i]];
return out;
}
Usage:
console.log(convertBase("5a2a9c826c75045be9ba8fbffc80c6f25a2a9c826c75045be9ba8fbffc80c6f2",16,64));
// Returns: 5EGD89ItghrWrGfL/O0NL9qaFO2r7k4m+CWzX/YwcrO
console.log(convertBase("5EGD89ItghrWrGfL/O0NL9qaFO2r7k4m+CWzX/YwcrO",64,16));
// Returns: 5a2a9c826c75045be9ba8fbffc80c6f25a2a9c826c75045be9ba8fbffc80c6f2
The basic code has been found here, I have a bit improved it to also support up to base 64.

The following diagram might help. Note that to convert from base 16 to base 2 you need to convert first to base 10 and then base 2.

This function generate decimal number to any base from 2 to 36.(as like javascript)But you can Increase the base more than 36 just by adding new character in keys[] like lowercase["a","b"]
function toBase(num, radix = 10) { // only i64 numbers
var keys = ['🤢', '😃', 2, 3, 4, 5, 6, 7, 8, 9, "A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z"];
if (!(radix >= 2 && radix <= keys.length)) throw new RangeError("toBase() radix argument must be between 2 and " + keys.length)
if (num < 0) var isNegative = true
if (isNaN(num = Math.abs(+num))) return NaN
let output = [];
do {
let index = num % radix;
output.unshift(keys[index]);
num = Math.trunc(num / radix);
} while (num != 0);
if (isNegative) output.unshift('-')
return output.join("");
}
console.log(toBase("100",2))

Specify the radix you want to use as a parameter.
NOTE: This only works to convert from bases 2-36 to decimal and little values.
parseInt(string, radix)
parseInt("80", 10) // results in 80
parseInt("80", 16) // results in 128
// etc
About "little", parseInt("6f", 32) is fine (= 207), but any other little bigger will be also 207, 6f1, 6f11, ...

Well, I made a function that could translate from base 10 to any base. (This depends on how many strings you have in the array A, if it's more than that + 10 it'll run out of symbols), and I almost cried when I found out you could to it in less than 10 characters with that...
Add a bookmark and as URL insert this... I've done it the long but personal way. At least, mine can use a base which is higher than 36. You can add more symbols yourself, but if you want, I can make it for you...
var X = prompt("Choose your number");
var Y = prompt("Choose your base");
var Z = [];
var M = -1;
var A = ["A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z"];
var B = function() {
for (i = X; 0 < i; i = Math.floor(i / Y)) {
if(i % Y >= 10) {
Z.push(A[i % Y - 10]);
} else {
Z.push(i % Y);
}
M = M + 1;
}
for (j = M; j >= 0; j--) {
document.write(Z[j]);
}
};
B(); // Call function

Usually I use this function to convert from different bases.
For example, it returns "11111111" for both cases:
convertBase("ff", 16, 2) or convertBase(0xFF, 16, 2)
var convertBase = function(val, base1, base2) {
if (typeof(val) == "number") {
return parseInt(String(val)).toString(base2);
} else {
return parseInt(val.toString(), base1).toString(base2)
};
}

I've written a function to convert a JavaScript string from one base to another base, with the original base and the new base specified as parameters.
function convertFromBaseToBase(str, fromBase, toBase){
var num = parseInt(str, fromBase);
return num.toString(toBase);
}
alert(convertFromBaseToBase(10, 2, 10));

This function converts a number from base 10, to an arbitrary base:
function to_base(base, num) {
const largest_power = ~~(Math.log(num) / Math.log(base));
const result = [];
for (let pow = largest_power; pow >= 0; pow--) {
const digit = ~~(num / base ** pow);
num -= digit * base ** pow;
result.push(digit);
}
return result;
}
to_base(2, 13) // [1, 1, 0, 1]
to_base(10, 458) // [4, 5, 8]
to_base(32, 1024) // [1, 0, 0]
to_base(32, 1023) // [31, 31]
which can be useful if you want to use weird bases along with weird char-set

Using the parseInt function:
var noInBase10 = parseInt('8F',16);

Check the complete JS code to convert into different base
/**
* Convert From/To Binary/Decimal/Hexadecimal in JavaScript
* https://gist.github.com/shamshul2007/
* Copyright 2012-2015, Shamshul <shamshul2007#gmail.com>
* Licensed under The MIT License
* http://www.opensource.org/licenses/mit-license
*/
(function(){
var ConvertBase = function (num) {
return {
from : function (baseFrom) {
return {
to : function (baseTo) {
return parseInt(num, baseFrom).toString(baseTo);
}
};
}
};
};
// binary to decimal
ConvertBase.bin2dec = function (num) {
return ConvertBase(num).from(2).to(10);
};
// binary to hexadecimal
ConvertBase.bin2hex = function (num) {
return ConvertBase(num).from(2).to(16);
};
// decimal to binary
ConvertBase.dec2bin = function (num) {
return ConvertBase(num).from(10).to(2);
};
// decimal to hexadecimal
ConvertBase.dec2hex = function (num) {
return ConvertBase(num).from(10).to(16);
};
// hexadecimal to binary
ConvertBase.hex2bin = function (num) {
return ConvertBase(num).from(16).to(2);
};
// hexadecimal to decimal
ConvertBase.hex2dec = function (num) {
return ConvertBase(num).from(16).to(10);
};
//Octal to Decimal
ConvertBase.oct2dec = function (num) {
return ConvertBase(num).from(8).to(10);
};
//Decimal to Octal
ConvertBase.dec2oct = function (num) {
return ConvertBase(num).from(10).to(8);
};
this.ConvertBase = ConvertBase;
})(this);
/*
* Usage example:
* ConvertBase.bin2dec('1111'); // '15'
* ConvertBase.dec2hex('82'); // '52'
* ConvertBase.hex2bin('e2'); // '11100010'
* ConvertBase.dec2bin('153'); // '10011001'
* ConvertBase.hex2dec('1FE4ED63D55FA51E'); //'2298222722903156000'
* ConvertBase.oct2dec('777'); //'511'
* ConvertBase.dec2oct('551'); //'1047'
*/

Try the following code, optimised from Slavik Meltser's post, implements BASE n conversions with all the radix combinations between Base2 and Base256. This code accepts three sorts of arguments to define source and destination number systems:
by number system radix (e.g. 8)
by number system convention name (e.g. 'Bitcoin')
by giving custom numerals as an argument (e.g. ['0123456789ABCDEF'])
You'll see that some number system numerals have been hard-coded inside the class and will be used as default when you pass the radix as an argument. (.e.g. 64) When no hard-coded numeral exists (e.g. 16), default numerals are assigned for all radixes ranging between Base2 and Base256, which becomes very clear in the self-test further below.
function BASE() {
/**
* BASE n converter doing all the radix combinations between Base2 and Base256
* #param {String} str input number
* #param {Number|String|Array} fromBase input number system radix (Number, e.g. 64), convention name (String, e.g. 'Bitcoin') or range (Array)
* #param {Number|String|Array} toBASE output number system radix (Number), convention name (String) or range (Array e.g. ['0123456789'])
* #return {String} output number
*/
this.convert = function (str, fromBase, toBASE)
{
if(typeof(fromBase)=='object') { this.fromSymbols = fromBase[0] } else this.fromSymbols = this.getsymbols(fromBase);
if(typeof(toBASE) =='object') { this.toSymbols = toBASE[0] } else this.toSymbols = this.getsymbols(toBASE);
fromBase = this.fromSymbols.length; toBASE = this.toSymbols.length;
// PARSE INPUT DIGITS ARRAY
for(var _a = [0], str = str.split(''); str.length > 0 && _a[_a.push(this.fromSymbols.indexOf(str.pop())) - 1] >= 0;);
var _d = _a.shift() + _a[_a.length-1]>=0 ? _a : null; if (_d === null) return null;
// BASE CONVERSION
for (var _n = 0,_a = [],_p = [1]; _n < _d.length; _n++) { _a = add(_a, mul(_d[_n], _p, toBASE), toBASE); _p = mul(fromBase, _p, toBASE) }
// PARSE OUTPUT DIGITS ARRAY
for (var _n = _a.length - 1, _o = ''; _n >= 0; _o += this.toSymbols[_a[_n--]]);
return _o.length==0?this.toSymbols[0]:_o;
}
this.symbols = {
32:function(){return this["base32hex"]},
36:["[0-9][A-Z]"],
45:function(){return this["qr-alnum"]},
58:function(){return this["Bitcoin"]},
64:["[A-Z][a-z][0-9]+/"],
85:function(){return this["RFC 1924"]},
91:["[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~\""],
94:["[!-~]"],
"geohash": ["[0-9][b-h]jkmn[p-z]"], // base 32
"RFC 4648": ["[A-Z][2-7]"], // base 32
"base32hex": ["[0-9][A-V]"], // base 32
"qr-alnum":["[0-9][A-Z] $%*+-./:"], // base 45
"Bitcoin": ["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"], // base 58
"RFC 1924": ["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"] // base 85
}
this.getsymbols = function(index) {
if(typeof(this.symbols[index])=="undefined") this.symbols[index] = index<95?this.rng(index<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,index):this.rng("[\x00-\xff]").substring(256-index,256);
if(typeof(this.symbols[index])=="function") this.symbols[index] = this.symbols[index](); // process references
if(typeof(this.symbols[index])=="object") this.symbols[index] = this.rng(this.symbols[index][0]); // process range_replace
return this.symbols[index];
}
this.rng = function(_s) {
var _a = _s.match(/\[.-.\]/); if(_a==null) return _s; else { _a=[_a[0].charCodeAt(1),_a[0].charCodeAt(3)];
return this.rng(_s.replace(RegExp("\\[(\\x"+("0"+_a[0].toString(16)).slice(-2)+"-\\x"+_a[1].toString(16)+")\\]","g")
,String.fromCharCode(..." ".repeat(_a[1]-_a[0]+1).split("").map((_e,_i)=>_i+_a[0])) )) }
}
this.selftest = function() {
var _a={}; for(var _o in this.symbols) _a[_o] = this.getsymbols(_o).length; // built-in symbols
for(_o=2;_o<=95;_o++) _a[_o] = this.getsymbols(_o).length; _a[256]=256; // symbol range 2-95 + 256 (96-255 is similar)
var _s = "",_a = Object.keys(_a).sort(function(a,b){return _a[a]-_a[b]}); // sort merged list
for(var _i in _a) { // iterate number systems
_o = {fromBase:10, toBASE:_a[_i]}; var _r = this.convert("",10,_o.toBASE)
_s += "\r\n\oBASE.convert(n, '"+_o.fromBase+"', '"+_o.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n"
for(var _n=0;_n<(this.fromSymbols.length+2);_n++) { // iterate numbers
_r = this.convert(String(_n),_o.fromBase,_o.toBASE)
_s += _n+(String(_n)==this.convert(_r,_o.toBASE,_o.fromBase)?">":"?")+"["+_r+"] ";
}
}
return _s
}
var add = function(x, y, base) {
var _m = Math.max(x.length, y.length);
for(var _c = _n = 0,_r = []; _n < _m || _c; _c = Math.floor(_z / base)) {
var _z = _c + (_n < x.length ? x[_n] : 0) + (_n < y.length ? y[_n] : 0);
var _n = _r.push(_z % base);
}
return _r;
}
var mul = function(x, pow, base) {
for(var _r = x < 0 ? null : []; x > 0; x = x >> 1) {
if(x & 1) _r = add(_r, pow, base);
pow = add(pow, pow, base);
}
return _r;
}
}
Usage:
// quick test, convert from base45 to base32, using custom symbols for base85 and back to base45
var oBASE = new BASE();
var n = "THIS IS A NUMBER"; // Base 45 code = 'qr-alnum'
console.log(n); // Result: 'THIS IS A NUMBER'
var n = oBASE.convert(n,"qr-alnum",32); // Base 45 to Base 32 = 'base32hex'
console.log(n); // Result: '4ONI84LCTLJ1U08G1N'
var s85 = oBASE.rng("[0-9][a-z][A-Z].-:+=^!/*?&<>()[]{}#%$#"); // 32/Z85 custom symbols
var n = oBASE.convert(n,"base32hex",[s85]); // 'base2hex' to custom Base 85
console.log(n); // Result: 'fnaxrZP)?5d[DG'
var n = oBASE.convert(n,[s85],45); // Custom Base 85 to Base 45 = 'qr-alnum'
console.log(n); // Result: 'THIS IS A NUMBER'
function BASE(){this.convert=function(o,r,n){this.fromSymbols="object"==typeof r?r[0]:this.getsymbols(r),this.toSymbols="object"==typeof n?n[0]:this.getsymbols(n),r=this.fromSymbols.length,n=this.toSymbols.length;var i=[0];for(o=o.split("");o.length>0&&i[i.push(this.fromSymbols.indexOf(o.pop()))-1]>=0;);var h=i.shift()+i[i.length-1]>=0?i:null;if(null===h)return null;for(var e=0,l=(i=[],[1]);e<h.length;e++)i=t(i,s(h[e],l,n),n),l=s(r,l,n);e=i.length-1;for(var m="";e>=0;m+=this.toSymbols[i[e--]]);return 0==m.length?this.toSymbols[0]:m},this.symbols={32:function(){return this.base32hex},36:["[0-9][A-Z]"],45:function(){return this["qr-alnum"]},58:function(){return this.Bitcoin},64:["[A-Z][a-z][0-9]+/"],85:function(){return this["RFC 1924"]},91:['[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~"'],94:["[!-~]"],geohash:["[0-9][b-h]jkmn[p-z]"],"RFC 4648":["[A-Z][2-7]"],base32hex:["[0-9][A-V]"],"qr-alnum":["[0-9][A-Z] $%*+-./:"],Bitcoin:["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"],"RFC 1924":["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"]},this.getsymbols=function(t){return void 0===this.symbols[t]&&(this.symbols[t]=t<95?this.rng(t<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,t):this.rng("[\0-ÿ]").substring(256-t,256)),"function"==typeof this.symbols[t]&&(this.symbols[t]=this.symbols[t]()),"object"==typeof this.symbols[t]&&(this.symbols[t]=this.rng(this.symbols[t][0])),this.symbols[t]},this.rng=function(t){var s=t.match(/\[.-.\]/);return null==s?t:(s=[s[0].charCodeAt(1),s[0].charCodeAt(3)],this.rng(t.replace(RegExp("\\[(\\x"+("0"+s[0].toString(16)).slice(-2)+"-\\x"+s[1].toString(16)+")\\]","g"),String.fromCharCode(..." ".repeat(s[1]-s[0]+1).split("").map((t,o)=>o+s[0])))))},this.selftest=function(){var t={};for(var s in this.symbols)t[s]=this.getsymbols(s).length;for(s=2;s<=95;s++)t[s]=this.getsymbols(s).length;t[256]=256;var o="";t=Object.keys(t).sort(function(s,o){return t[s]-t[o]});for(var r in t){s={fromBase:10,toBASE:t[r]};var n=this.convert("",10,s.toBASE);o+="\r\noBASE.convert(n, '"+s.fromBase+"', '"+s.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n";for(var i=0;i<this.fromSymbols.length+2;i++)n=this.convert(String(i),s.fromBase,s.toBASE),o+=i+(String(i)==this.convert(n,s.toBASE,s.fromBase)?">":"?")+"["+n+"] "}return o};var t=function(t,s,o){for(var r=Math.max(t.length,s.length),n=e=0,i=[];e<r||n;n=Math.floor(h/o))var h=n+(e<t.length?t[e]:0)+(e<s.length?s[e]:0),e=i.push(h%o);return i},s=function(s,o,r){for(var n=s<0?null:[];s>0;s>>=1)1&s&&(n=t(n,o,r)),o=t(o,o,r);return n}}
Self-Test:
// quick test, convert from base45 to base32, using custom symbols for base85 and back to base45
var oBASE = new BASE();
console.log(oBASE.selftest())
function BASE(){this.convert=function(o,r,n){this.fromSymbols="object"==typeof r?r[0]:this.getsymbols(r),this.toSymbols="object"==typeof n?n[0]:this.getsymbols(n),r=this.fromSymbols.length,n=this.toSymbols.length;var i=[0];for(o=o.split("");o.length>0&&i[i.push(this.fromSymbols.indexOf(o.pop()))-1]>=0;);var h=i.shift()+i[i.length-1]>=0?i:null;if(null===h)return null;for(var e=0,l=(i=[],[1]);e<h.length;e++)i=t(i,s(h[e],l,n),n),l=s(r,l,n);e=i.length-1;for(var m="";e>=0;m+=this.toSymbols[i[e--]]);return 0==m.length?this.toSymbols[0]:m},this.symbols={32:function(){return this.base32hex},36:["[0-9][A-Z]"],45:function(){return this["qr-alnum"]},58:function(){return this.Bitcoin},64:["[A-Z][a-z][0-9]+/"],85:function(){return this["RFC 1924"]},91:['[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~"'],94:["[!-~]"],geohash:["[0-9][b-h]jkmn[p-z]"],"RFC 4648":["[A-Z][2-7]"],base32hex:["[0-9][A-V]"],"qr-alnum":["[0-9][A-Z] $%*+-./:"],Bitcoin:["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"],"RFC 1924":["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"]},this.getsymbols=function(t){return void 0===this.symbols[t]&&(this.symbols[t]=t<95?this.rng(t<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,t):this.rng("[\0-ÿ]").substring(256-t,256)),"function"==typeof this.symbols[t]&&(this.symbols[t]=this.symbols[t]()),"object"==typeof this.symbols[t]&&(this.symbols[t]=this.rng(this.symbols[t][0])),this.symbols[t]},this.rng=function(t){var s=t.match(/\[.-.\]/);return null==s?t:(s=[s[0].charCodeAt(1),s[0].charCodeAt(3)],this.rng(t.replace(RegExp("\\[(\\x"+("0"+s[0].toString(16)).slice(-2)+"-\\x"+s[1].toString(16)+")\\]","g"),String.fromCharCode(..." ".repeat(s[1]-s[0]+1).split("").map((t,o)=>o+s[0])))))},this.selftest=function(){var t={};for(var s in this.symbols)t[s]=this.getsymbols(s).length;for(s=2;s<=95;s++)t[s]=this.getsymbols(s).length;t[256]=256;var o="";t=Object.keys(t).sort(function(s,o){return t[s]-t[o]});for(var r in t){s={fromBase:10,toBASE:t[r]};var n=this.convert("",10,s.toBASE);o+="\r\noBASE.convert(n, '"+s.fromBase+"', '"+s.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n";for(var i=0;i<this.fromSymbols.length+2;i++)n=this.convert(String(i),s.fromBase,s.toBASE),o+=i+(String(i)==this.convert(n,s.toBASE,s.fromBase)?">":"?")+"["+n+"] "}return o};var t=function(t,s,o){for(var r=Math.max(t.length,s.length),n=e=0,i=[];e<r||n;n=Math.floor(h/o))var h=n+(e<t.length?t[e]:0)+(e<s.length?s[e]:0),e=i.push(h%o);return i},s=function(s,o,r){for(var n=s<0?null:[];s>0;s>>=1)1&s&&(n=t(n,o,r)),o=t(o,o,r);return n}}

to convert numbers into different bases in JavaScript or typescript using the following ways.
function binary(number) {
console.log((number >>> 0).toString(2)); //base 2 for binary
}
binary(-7);
function octal(number) {
console.log(number.toString(8)); //base 8 for octal
}
octal(15);
function hex(number) {
console.log(number.toString(16)); //base 16 for hex
}
hex(15);
here in the binary function, you can use number.toString(2) function, but the problem occurs when representing negative numbers. so that you can use the unsigned right shift bitwise operator (>>>) to fix this issue.

You can also convert number in hexadecimal to decimal as follows:
var a="8F";
var b=a.split("");
var result=0;var hex_multiplier=1;
for(var i=0;i<b.length;i++){
result +=parseInt(b[i],16)*hex_multiplier;
hex_multiplier *=16;
}
console.log(result);
where you can change a with any hexadecimal number and get the result in decimal form.

You can use JavaScript's built-in integer literals for some scenarios:
function binaryToDecimal(binaryString) {
return Number('0b' + binaryString.replace('-', '')) * signOf(binaryString);;
}
function octalToDecimal(octalString) {
return Number('0o' + octalString.replace('-', '')) * signOf(octalString);
}
function hexToDecimal(hexString) {
return Number('0x' + hexString.replace('-', '')) * signOf(hexString);
}
function signOf(n) {
return n.trim()[0] == '-' ? -1 : 1;
}
console.log(binaryToDecimal('-0101'),
octalToDecimal('-052171'),
hexToDecimal('deadbeef'));

This code converts a number to an arbitrary-large base, outputting an array of digits.
function convertBase(num, base) {
var result = [];
while(num >= 1) {
result.unshift(num % base);
num = Math.floor(num / base);
}
return result;
}
console.log(convertBase(100, 12)); // [8, 4]
console.log(convertBase(5114, 64)); // [1, 15, 58]

TypeScript Implementation that supports decimal and int:
class Digit {
private readonly digitMap: Map<string, number>;
constructor(readonly digits: string, readonly maxDigits = 10) {
this.digitMap = new Map<string, number>();
for (let i = 0; i < digits.length; i += 1) {
if (digits[i] === ".") {
throw new TypeError(`Digits should not contain the "." mark.`);
}
if (this.digitMap.has(digits[i])) {
throw new TypeError(`Duplicated digit character.`);
}
this.digitMap.set(digits[i], i);
}
}
to = (x: number) => {
const int = Math.floor(x);
const dec = x - int;
let intRemains = int;
let intResult = "";
while (true) {
intResult = this.digits[intRemains % this.digits.length] + intResult;
intRemains = Math.floor(intRemains / this.digits.length);
if (intRemains === 0) break;
}
if (dec > 0) {
let decRemains = dec;
let decResult = "";
for (let i = 0; i < this.maxDigits; i += 1) {
const stepCache = decRemains * this.digits.length;
const decInt = Math.floor(stepCache);
decResult = decResult + this.digits[decInt];
decRemains = stepCache - decInt;
if (decRemains === 0) break;
}
if (decResult === "0") return intResult;
return intResult + "." + decResult;
}
return intResult;
};
from = (x: string) => {
const splitted = x.split(".");
if (splitted.length > 2) return Number.NaN;
const [int, dec] = splitted;
let result = 0;
for (let i = 0; i < int.length; i += 1) {
const digit = int[int.length - i - 1];
const oct = this.digitMap.get(digit);
if (oct === undefined) return Number.NaN;
result += oct * Math.pow(this.digits.length, i);
}
if (dec) {
for (let i = 0; i < dec.length; i += 1) {
const digit = dec[i];
const oct = this.digitMap.get(digit);
if (oct === undefined) return Number.NaN;
result += oct * Math.pow(this.digits.length, 0 - i - 1);
}
}
return result;
};
}
Here're the example about how to use it:
Creating the converter:
const d = new Digit("0123456789");
Convert a number to string:
d.to(1.2345);
Convert a string to number:
d.from("1.2345");
You can also set the second parameter to control the maximum number of decimal places, for example:
const d0 = new Digit("abcdABCD", 10);
d0.to(0.96);
// a.DBdAbcbDcD
const d1 = new Digit("abcdABCD", 20);
d1.to(0.96);
// a.DBdAbcbDcDacAdCBC

Monkey patched Number prototype for all radixes up to and including 64
( inspired by and derived from #nirvana's answer )
NumberToStringPatched.__patched = NumberToStringPatched;
if (Number.prototype.toString.__patched!==NumberToStringPatched) {
NumberToStringPatched.__unpatched = Number.prototype.toString;
Number.prototype.toString = NumberToStringPatched;
}
NumberParseIntPatched.__patched = NumberParseIntPatched;
if (Number.parseInt.__patched!==NumberParseIntPatched) {
NumberParseIntPatched.__unpatched = Number.parseInt;
Number.parseInt = NumberParseIntPatched;
}
function NumberToStringPatched(base=10) {
if (base<33||base>64) return NumberToStringPatched.__unpatched.call(this,base);
return convertToBase(this,base);
}
function NumberParseIntPatched(str,base=10) {
if (base<33||base>64) return NumberParseIntPatched.__unpatched.call(this,str,base);
return convertFromBase(str,base);
}
const numberCharSet=(()=>{
let chars = "0123456789";
for (let c='a';c<='z';c=String.fromCharCode(c.charCodeAt(0)+1)) {
chars+=c;
}
for (let c='A';c<='Z';c=String.fromCharCode(c.charCodeAt(0)+1)) {
chars+=c;
}
return (chars+'_$').split('');
})();
function convertToBase(num, base) {
var result = '';
while(num >= 1) {
result = numberCharSet[num % base]+result;
num = Math.floor(num / base);
}
return result;
}
function convertFromBase(str, base) {
let charset = numberCharSet.slice(0,base);
if (typeof str==='number') str=str.toString(base);
if (base <= 26) str=str.toLowerCase();
let digits = str.split('').map(function(c){
let x = charset.indexOf(c);
if (x<0) throw new Error("invalid digit for given radix "+base+': '+c);
return x;
});
let result = digits.shift();
while (digits.length) {
result=(result*base)+digits.shift();
}
return result;
}
for (let i = 0;i<64;i++) {
console.log(i.toString(64));
}
console.log(9000);
console.log(9 * 10 * 10 * 10);
console.log(0xf000);
console.log(15 * 16 * 16 * 16);
console.log(Number.parseInt('$000',64));
console.log(63 * 64 * 64 * 64);

I am writing this answer simply because I was kinda stupid to understand the difference between parseInt and .toString().
Here is the difference
parseInt
parseInt(str, base) will convert the str to an Integer and base here is used to tell parseInt which base the str is in. I thought the base here was what the str would get converted to. But thats not true. parseInt is just used to convert a number in any base to an integer in base10.
.toString()
number.toString(base) is used to convert the number into a number with base base and it assumes that number is in Integer form. So if the number is in hex format and you want to convert it to binary you need to convert the number first to Integer using parseInt and then you can use this function to change the base.
Hope this helps if you are as stupid as me. :)

Your Own recursion method for creating base2 conversions.
As mentioned by the users above
let n = 13; console.log(n.toString(2)); will result in 13 conversion from base 10 to base 2.
But in case if you want to program the same. I have written a recursive method to do the same. which just simply divide by 2 and then count remainders.
// #author Tarandeep Singh :: Created recursive converter from base 10 to base 2
// #date : 2017-04-11
// Convert Base 10 to Base 2, We should reverse the output
// For Example base10to2(10) = "0101" just do res = base10to2(10).split('').reverse().join();
function base10to2(val, res = '') {
if (val >= 2) {
res += '' + val % 2;
return base10to2(val = Math.floor(val / 2), res);
} else {
res += '' + 1
return res;
}
}
let n = 13;
var result = base10to2(n).split('').reverse().join();
document.write(`Converting ${n} into Base2 is ${result}`);

Convert number to alphabet letter

I want to convert a number to its corresponding alphabet letter. For example:
1 = A
2 = B
3 = C
Can this be done in javascript without manually creating the array?
In php there is a range() function that creates the array automatically. Anything similar in javascript?

Yes, with Number#toString(36) and an adjustment.
var value = 10;
document.write((value + 9).toString(36).toUpperCase());

You can simply do this without arrays using String.fromCharCode(code) function as letters have consecutive codes. For example: String.fromCharCode(1+64) gives you 'A', String.fromCharCode(2+64) gives you 'B', and so on.

Snippet below turns the characters in the alphabet to work like numerical system
1 = A
2 = B
...
26 = Z
27 = AA
28 = AB
...
78 = BZ
79 = CA
80 = CB
var alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
var result = ""
function printToLetter(number){
var charIndex = number % alphabet.length
var quotient = number/alphabet.length
if(charIndex-1 == -1){
charIndex = alphabet.length
quotient--;
}
result = alphabet.charAt(charIndex-1) + result;
if(quotient>=1){
printToLetter(parseInt(quotient));
}else{
console.log(result)
result = ""
}
}
I created this function to save characters when printing but had to scrap it since I don't want to handle improper words that may eventually form

Just increment letterIndex from 0 (A) to 25 (Z)
const letterIndex = 0
const letter = String.fromCharCode(letterIndex + 'A'.charCodeAt(0))
console.log(letter)

UPDATE (5/2/22): After I needed this code in a second project, I decided to enhance the below answer and turn it into a ready to use NPM library called alphanumeric-encoder. If you don't want to build your own solution to this problem, go check out the library!
I built the following solution as an enhancement to #esantos's answer.
The first function defines a valid lookup encoding dictionary. Here, I used all 26 letters of the English alphabet, but the following will work just as well: "ABCDEFG", "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789", "GFEDCBA". Using one of these dictionaries will result in converting your base 10 number into a base dictionary.length number with appropriately encoded digits. The only restriction is that each of the characters in the dictionary must be unique.
function getDictionary() {
return validateDictionary("ABCDEFGHIJKLMNOPQRSTUVWXYZ")
function validateDictionary(dictionary) {
for (let i = 0; i < dictionary.length; i++) {
if(dictionary.indexOf(dictionary[i]) !== dictionary.lastIndexOf(dictionary[i])) {
console.log('Error: The dictionary in use has at least one repeating symbol:', dictionary[i])
return undefined
}
}
return dictionary
}
}
We can now use this dictionary to encode our base 10 number.
function numberToEncodedLetter(number) {
//Takes any number and converts it into a base (dictionary length) letter combo. 0 corresponds to an empty string.
//It converts any numerical entry into a positive integer.
if (isNaN(number)) {return undefined}
number = Math.abs(Math.floor(number))
const dictionary = getDictionary()
let index = number % dictionary.length
let quotient = number / dictionary.length
let result
if (number <= dictionary.length) {return numToLetter(number)} //Number is within single digit bounds of our encoding letter alphabet
if (quotient >= 1) {
//This number was bigger than our dictionary, recursively perform this function until we're done
if (index === 0) {quotient--} //Accounts for the edge case of the last letter in the dictionary string
result = numberToEncodedLetter(quotient)
}
if (index === 0) {index = dictionary.length} //Accounts for the edge case of the final letter; avoids getting an empty string
return result + numToLetter(index)
function numToLetter(number) {
//Takes a letter between 0 and max letter length and returns the corresponding letter
if (number > dictionary.length || number < 0) {return undefined}
if (number === 0) {
return ''
} else {
return dictionary.slice(number - 1, number)
}
}
}
An encoded set of letters is great, but it's kind of useless to computers if I can't convert it back to a base 10 number.
function encodedLetterToNumber(encoded) {
//Takes any number encoded with the provided encode dictionary
const dictionary = getDictionary()
let result = 0
let index = 0
for (let i = 1; i <= encoded.length; i++) {
index = dictionary.search(encoded.slice(i - 1, i)) + 1
if (index === 0) {return undefined} //Attempted to find a letter that wasn't encoded in the dictionary
result = result + index * Math.pow(dictionary.length, (encoded.length - i))
}
return result
}
Now to test it out:
console.log(numberToEncodedLetter(4)) //D
console.log(numberToEncodedLetter(52)) //AZ
console.log(encodedLetterToNumber("BZ")) //78
console.log(encodedLetterToNumber("AAC")) //705
UPDATE
You can also use this function to take that short name format you have and return it to an index-based format.
function shortNameToIndex(shortName) {
//Takes the short name (e.g. F6, AA47) and converts to base indecies ({6, 6}, {27, 47})
if (shortName.length < 2) {return undefined} //Must be at least one letter and one number
if (!isNaN(shortName.slice(0, 1))) {return undefined} //If first character isn't a letter, it's incorrectly formatted
let letterPart = ''
let numberPart= ''
let splitComplete = false
let index = 1
do {
const character = shortName.slice(index - 1, index)
if (!isNaN(character)) {splitComplete = true}
if (splitComplete && isNaN(character)) {
//More letters existed after the numbers. Invalid formatting.
return undefined
} else if (splitComplete && !isNaN(character)) {
//Number part
numberPart = numberPart.concat(character)
} else {
//Letter part
letterPart = letterPart.concat(character)
}
index++
} while (index <= shortName.length)
numberPart = parseInt(numberPart)
letterPart = encodedLetterToNumber(letterPart)
return {xIndex: numberPart, yIndex: letterPart}
}

this can help you
static readonly string[] Columns_Lettre = new[] { "A", "B", "C"};
public static string IndexToColumn(int index)
{
if (index <= 0)
throw new IndexOutOfRangeException("index must be a positive number");
if (index < 4)
return Columns_Lettre[index - 1];
else
return index.ToString();
}

How to create a Alphanumeric Serial Number in Javascript?

I am trying to create a alphanumeric serial number in Javascript, the serial number is governed by the following rules:
3-Digit Alphanumeric Series
Allowed values 1-9 (Zero is excluded) and A-Z (All Capitals with exclusions of I and O)
The code should be able to give the next number after getting the input number.
The last part is tricky, basically the code would fetch the existing value of the serial number and it would then give the output as the next number.
For example: If the input number 11D then the output number should be 11E. Please let me know if this description is good enough to explain my requirement.
The excel sheet for the same is attached here
Also the part of the code where the script would fetch the starting value 11D would be from this code:
cur_frm.add_fetch('item_group','serial_number','serial_number');

This should do it:
var nextSerialNumber = function(serialNumber) {
return (parseInt(serialNumber, 36) + 1).toString(36).replace(
/i/g,'j').replace(/o/g, 'p').replace(/0/g, '1').toUpperCase();
}
nextSerialNumber("99Z") //=> "9A1"
nextSerialNumber("11D") //=> "11E"
I'm not sure what you want to happen after ZZZ. It jumps to 1111, but that could be changed.
If you input an invalid serial number (e.g. 11I), it gives you the next valid number (e.g. 11J).

var alphabet = "123456789ABCDEFGHJKLMNPQRSTUVWXYZ";
var alphabetLen = alphabet.length;
function nextDigit(digit) {
nextDigitPos = (alphabet.indexOf(digit)+1) % alphabetLen;
return alphabet.charAt(nextDigitPos);
}
/**
* Computes the next serial id.
* #param id the id to compute the successor of,
* if null or empty String the first id
* "111" is returned.
*/
function nextSerial(id) {
if(id==null || id.length==0) return "111";
var digits = id.split("");
digits[2] = nextDigit(digits[2]);
if(digits[2] == "1") /* overflow */ {
digits[1] = nextDigit(digits[1]);
if(digits[1] == "1") /* overflow */ {
digits[0] = nextDigit(digits[0])
}
}
return digits.join("");
}

This should do it:
function getNext(num) {
var alphabet = "123456789ABCDEFGHJKLMNPQRSTUVWXYZ";
var digits = num.toUpperCase().split(""),
len = digits.length,
increase = true;
if (len != 3)
throw new Error("Invalid serial number length in getNext: "+num);
for (var i=len-1; increase && i>=0; i--) {
var val = alphabet.indexOf(digits[i]);
if (val == -1)
throw new Error("Invalid serial number digit in getNext: "+num);
val++;
if (val < alphabet.length) {
digits[i] = alphabet[val];
increase = false;
} else { // overflow
digits[i] = alphabet[0];
}
}
if (increase) // is still true
throw new Error("Serial number overflow in getNext");
num = digits.join("");
return num;
}
Since you are working with a nearly alphanumeric alphabet, a parseInt/toString with radix 33 might have done it as well. Only you need to "jump" over the 0, I and O, that means replacing 0,A,B… by A,B,C…, replacing H,I,J… by J,K,L… and replacing M,N,O… by P,Q,R… (and everything back on deserialisation) - which might be OK if JS has a numeric char datatype, but I think it's easier to do it manually as above.
If you're curious:
String.prototype.padLeft = function(n, x) {
return (new Array(n).join(x || "0")+this).slice(-n);
};
function getNext(num) {
var alphabet = "123456789ABCDEFGHJKLMNPQRSTUVWXYZ";
var back = {}, forth = {};
for (var i=0; i<alphabet.length; i++) {
var a = alphabet[i],
b = i.toString(36);
back[a] = b;
forth[b] = a;
}
return (parseInt(num.replace(/./g, function(c) {
return back[c]; // base33 from alphabet
}), alphabet.length) + 1)
.toString(alphabet.length)
.padLeft(3)
.replace(/./g, function(c) {
return forth[c]; // base33 to alphabet
});
}

How do you convert numbers between different bases in JavaScript?

I would like to convert numbers between different bases, such as hexadecimal and decimal.
Example: How do you convert hexadecimal 8F to decimal?

The API
To convert to a number from a hex string:
parseInt(string, radix)
string: Required. The string to be parsed
radix: Optional. A number (from 2 to 36) that represents the numeral system to be used
To convert from a number to a hex string:
NumberObject.toString(radix)
radix: Optional. Specifies the base radix you would like the number displayed as.
Example radix values:
2 - The number will show as a binary value
8 - The number will show as an octal value
16 - The number will show as an hexadecimal value
Example Usage
Integer value to hex:
var i = 10;
console.log( i.toString(16) );
Hex string to integer value:
var h = "a";
console.log( parseInt(h, 16) );
Integer value to decimal:
var d = 16;
console.log( d.toString(10) );

Update 2023-01-05: Now supports large numbers and floats via https://github.com/ryansmith94/baseroo
I came to this post needing to convert from base 10 to 62 and vice-versa. Whilst the solutions here are great, parseInt and toString only support base 2 to 36. So if anyone finds themselves in a similar position to me needing base 2 to 62, I've pasted my solution below.
function convertBase(value, from_base, to_base) {
var range = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ+/'.split('');
var from_range = range.slice(0, from_base);
var to_range = range.slice(0, to_base);
var dec_value = value.split('').reverse().reduce(function (carry, digit, index) {
if (from_range.indexOf(digit) === -1) throw new Error('Invalid digit `'+digit+'` for base '+from_base+'.');
return carry += from_range.indexOf(digit) * (Math.pow(from_base, index));
}, 0);
var new_value = '';
while (dec_value > 0) {
new_value = to_range[dec_value % to_base] + new_value;
dec_value = (dec_value - (dec_value % to_base)) / to_base;
}
return new_value || '0';
}

You may try the following code, which also supports arbitrary precision numbers (larger than 2^53).
function convertBase(str, fromBase, toBase) {
const DIGITS = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ+/";
const add = (x, y, base) => {
let z = [];
const n = Math.max(x.length, y.length);
let carry = 0;
let i = 0;
while (i < n || carry) {
const xi = i < x.length ? x[i] : 0;
const yi = i < y.length ? y[i] : 0;
const zi = carry + xi + yi;
z.push(zi % base);
carry = Math.floor(zi / base);
i++;
}
return z;
}
const multiplyByNumber = (num, x, base) => {
if (num < 0) return null;
if (num == 0) return [];
let result = [];
let power = x;
while (true) {
num & 1 && (result = add(result, power, base));
num = num >> 1;
if (num === 0) break;
power = add(power, power, base);
}
return result;
}
const parseToDigitsArray = (str, base) => {
const digits = str.split('');
let arr = [];
for (let i = digits.length - 1; i >= 0; i--) {
const n = DIGITS.indexOf(digits[i])
if (n == -1) return null;
arr.push(n);
}
return arr;
}
const digits = parseToDigitsArray(str, fromBase);
if (digits === null) return null;
let outArray = [];
let power = [1];
for (let i = 0; i < digits.length; i++) {
digits[i] && (outArray = add(outArray, multiplyByNumber(digits[i], power, toBase), toBase));
power = multiplyByNumber(fromBase, power, toBase);
}
let out = '';
for (let i = outArray.length - 1; i >= 0; i--)
out += DIGITS[outArray[i]];
return out;
}
Usage:
console.log(convertBase("5a2a9c826c75045be9ba8fbffc80c6f25a2a9c826c75045be9ba8fbffc80c6f2",16,64));
// Returns: 5EGD89ItghrWrGfL/O0NL9qaFO2r7k4m+CWzX/YwcrO
console.log(convertBase("5EGD89ItghrWrGfL/O0NL9qaFO2r7k4m+CWzX/YwcrO",64,16));
// Returns: 5a2a9c826c75045be9ba8fbffc80c6f25a2a9c826c75045be9ba8fbffc80c6f2
The basic code has been found here, I have a bit improved it to also support up to base 64.

The following diagram might help. Note that to convert from base 16 to base 2 you need to convert first to base 10 and then base 2.

This function generate decimal number to any base from 2 to 36.(as like javascript)But you can Increase the base more than 36 just by adding new character in keys[] like lowercase["a","b"]
function toBase(num, radix = 10) { // only i64 numbers
var keys = ['🤢', '😃', 2, 3, 4, 5, 6, 7, 8, 9, "A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z"];
if (!(radix >= 2 && radix <= keys.length)) throw new RangeError("toBase() radix argument must be between 2 and " + keys.length)
if (num < 0) var isNegative = true
if (isNaN(num = Math.abs(+num))) return NaN
let output = [];
do {
let index = num % radix;
output.unshift(keys[index]);
num = Math.trunc(num / radix);
} while (num != 0);
if (isNegative) output.unshift('-')
return output.join("");
}
console.log(toBase("100",2))

Specify the radix you want to use as a parameter.
NOTE: This only works to convert from bases 2-36 to decimal and little values.
parseInt(string, radix)
parseInt("80", 10) // results in 80
parseInt("80", 16) // results in 128
// etc
About "little", parseInt("6f", 32) is fine (= 207), but any other little bigger will be also 207, 6f1, 6f11, ...

Well, I made a function that could translate from base 10 to any base. (This depends on how many strings you have in the array A, if it's more than that + 10 it'll run out of symbols), and I almost cried when I found out you could to it in less than 10 characters with that...
Add a bookmark and as URL insert this... I've done it the long but personal way. At least, mine can use a base which is higher than 36. You can add more symbols yourself, but if you want, I can make it for you...
var X = prompt("Choose your number");
var Y = prompt("Choose your base");
var Z = [];
var M = -1;
var A = ["A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z"];
var B = function() {
for (i = X; 0 < i; i = Math.floor(i / Y)) {
if(i % Y >= 10) {
Z.push(A[i % Y - 10]);
} else {
Z.push(i % Y);
}
M = M + 1;
}
for (j = M; j >= 0; j--) {
document.write(Z[j]);
}
};
B(); // Call function

Usually I use this function to convert from different bases.
For example, it returns "11111111" for both cases:
convertBase("ff", 16, 2) or convertBase(0xFF, 16, 2)
var convertBase = function(val, base1, base2) {
if (typeof(val) == "number") {
return parseInt(String(val)).toString(base2);
} else {
return parseInt(val.toString(), base1).toString(base2)
};
}

I've written a function to convert a JavaScript string from one base to another base, with the original base and the new base specified as parameters.
function convertFromBaseToBase(str, fromBase, toBase){
var num = parseInt(str, fromBase);
return num.toString(toBase);
}
alert(convertFromBaseToBase(10, 2, 10));

This function converts a number from base 10, to an arbitrary base:
function to_base(base, num) {
const largest_power = ~~(Math.log(num) / Math.log(base));
const result = [];
for (let pow = largest_power; pow >= 0; pow--) {
const digit = ~~(num / base ** pow);
num -= digit * base ** pow;
result.push(digit);
}
return result;
}
to_base(2, 13) // [1, 1, 0, 1]
to_base(10, 458) // [4, 5, 8]
to_base(32, 1024) // [1, 0, 0]
to_base(32, 1023) // [31, 31]
which can be useful if you want to use weird bases along with weird char-set

Using the parseInt function:
var noInBase10 = parseInt('8F',16);

Check the complete JS code to convert into different base
/**
* Convert From/To Binary/Decimal/Hexadecimal in JavaScript
* https://gist.github.com/shamshul2007/
* Copyright 2012-2015, Shamshul <shamshul2007#gmail.com>
* Licensed under The MIT License
* http://www.opensource.org/licenses/mit-license
*/
(function(){
var ConvertBase = function (num) {
return {
from : function (baseFrom) {
return {
to : function (baseTo) {
return parseInt(num, baseFrom).toString(baseTo);
}
};
}
};
};
// binary to decimal
ConvertBase.bin2dec = function (num) {
return ConvertBase(num).from(2).to(10);
};
// binary to hexadecimal
ConvertBase.bin2hex = function (num) {
return ConvertBase(num).from(2).to(16);
};
// decimal to binary
ConvertBase.dec2bin = function (num) {
return ConvertBase(num).from(10).to(2);
};
// decimal to hexadecimal
ConvertBase.dec2hex = function (num) {
return ConvertBase(num).from(10).to(16);
};
// hexadecimal to binary
ConvertBase.hex2bin = function (num) {
return ConvertBase(num).from(16).to(2);
};
// hexadecimal to decimal
ConvertBase.hex2dec = function (num) {
return ConvertBase(num).from(16).to(10);
};
//Octal to Decimal
ConvertBase.oct2dec = function (num) {
return ConvertBase(num).from(8).to(10);
};
//Decimal to Octal
ConvertBase.dec2oct = function (num) {
return ConvertBase(num).from(10).to(8);
};
this.ConvertBase = ConvertBase;
})(this);
/*
* Usage example:
* ConvertBase.bin2dec('1111'); // '15'
* ConvertBase.dec2hex('82'); // '52'
* ConvertBase.hex2bin('e2'); // '11100010'
* ConvertBase.dec2bin('153'); // '10011001'
* ConvertBase.hex2dec('1FE4ED63D55FA51E'); //'2298222722903156000'
* ConvertBase.oct2dec('777'); //'511'
* ConvertBase.dec2oct('551'); //'1047'
*/

Try the following code, optimised from Slavik Meltser's post, implements BASE n conversions with all the radix combinations between Base2 and Base256. This code accepts three sorts of arguments to define source and destination number systems:
by number system radix (e.g. 8)
by number system convention name (e.g. 'Bitcoin')
by giving custom numerals as an argument (e.g. ['0123456789ABCDEF'])
You'll see that some number system numerals have been hard-coded inside the class and will be used as default when you pass the radix as an argument. (.e.g. 64) When no hard-coded numeral exists (e.g. 16), default numerals are assigned for all radixes ranging between Base2 and Base256, which becomes very clear in the self-test further below.
function BASE() {
/**
* BASE n converter doing all the radix combinations between Base2 and Base256
* #param {String} str input number
* #param {Number|String|Array} fromBase input number system radix (Number, e.g. 64), convention name (String, e.g. 'Bitcoin') or range (Array)
* #param {Number|String|Array} toBASE output number system radix (Number), convention name (String) or range (Array e.g. ['0123456789'])
* #return {String} output number
*/
this.convert = function (str, fromBase, toBASE)
{
if(typeof(fromBase)=='object') { this.fromSymbols = fromBase[0] } else this.fromSymbols = this.getsymbols(fromBase);
if(typeof(toBASE) =='object') { this.toSymbols = toBASE[0] } else this.toSymbols = this.getsymbols(toBASE);
fromBase = this.fromSymbols.length; toBASE = this.toSymbols.length;
// PARSE INPUT DIGITS ARRAY
for(var _a = [0], str = str.split(''); str.length > 0 && _a[_a.push(this.fromSymbols.indexOf(str.pop())) - 1] >= 0;);
var _d = _a.shift() + _a[_a.length-1]>=0 ? _a : null; if (_d === null) return null;
// BASE CONVERSION
for (var _n = 0,_a = [],_p = [1]; _n < _d.length; _n++) { _a = add(_a, mul(_d[_n], _p, toBASE), toBASE); _p = mul(fromBase, _p, toBASE) }
// PARSE OUTPUT DIGITS ARRAY
for (var _n = _a.length - 1, _o = ''; _n >= 0; _o += this.toSymbols[_a[_n--]]);
return _o.length==0?this.toSymbols[0]:_o;
}
this.symbols = {
32:function(){return this["base32hex"]},
36:["[0-9][A-Z]"],
45:function(){return this["qr-alnum"]},
58:function(){return this["Bitcoin"]},
64:["[A-Z][a-z][0-9]+/"],
85:function(){return this["RFC 1924"]},
91:["[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~\""],
94:["[!-~]"],
"geohash": ["[0-9][b-h]jkmn[p-z]"], // base 32
"RFC 4648": ["[A-Z][2-7]"], // base 32
"base32hex": ["[0-9][A-V]"], // base 32
"qr-alnum":["[0-9][A-Z] $%*+-./:"], // base 45
"Bitcoin": ["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"], // base 58
"RFC 1924": ["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"] // base 85
}
this.getsymbols = function(index) {
if(typeof(this.symbols[index])=="undefined") this.symbols[index] = index<95?this.rng(index<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,index):this.rng("[\x00-\xff]").substring(256-index,256);
if(typeof(this.symbols[index])=="function") this.symbols[index] = this.symbols[index](); // process references
if(typeof(this.symbols[index])=="object") this.symbols[index] = this.rng(this.symbols[index][0]); // process range_replace
return this.symbols[index];
}
this.rng = function(_s) {
var _a = _s.match(/\[.-.\]/); if(_a==null) return _s; else { _a=[_a[0].charCodeAt(1),_a[0].charCodeAt(3)];
return this.rng(_s.replace(RegExp("\\[(\\x"+("0"+_a[0].toString(16)).slice(-2)+"-\\x"+_a[1].toString(16)+")\\]","g")
,String.fromCharCode(..." ".repeat(_a[1]-_a[0]+1).split("").map((_e,_i)=>_i+_a[0])) )) }
}
this.selftest = function() {
var _a={}; for(var _o in this.symbols) _a[_o] = this.getsymbols(_o).length; // built-in symbols
for(_o=2;_o<=95;_o++) _a[_o] = this.getsymbols(_o).length; _a[256]=256; // symbol range 2-95 + 256 (96-255 is similar)
var _s = "",_a = Object.keys(_a).sort(function(a,b){return _a[a]-_a[b]}); // sort merged list
for(var _i in _a) { // iterate number systems
_o = {fromBase:10, toBASE:_a[_i]}; var _r = this.convert("",10,_o.toBASE)
_s += "\r\n\oBASE.convert(n, '"+_o.fromBase+"', '"+_o.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n"
for(var _n=0;_n<(this.fromSymbols.length+2);_n++) { // iterate numbers
_r = this.convert(String(_n),_o.fromBase,_o.toBASE)
_s += _n+(String(_n)==this.convert(_r,_o.toBASE,_o.fromBase)?">":"?")+"["+_r+"] ";
}
}
return _s
}
var add = function(x, y, base) {
var _m = Math.max(x.length, y.length);
for(var _c = _n = 0,_r = []; _n < _m || _c; _c = Math.floor(_z / base)) {
var _z = _c + (_n < x.length ? x[_n] : 0) + (_n < y.length ? y[_n] : 0);
var _n = _r.push(_z % base);
}
return _r;
}
var mul = function(x, pow, base) {
for(var _r = x < 0 ? null : []; x > 0; x = x >> 1) {
if(x & 1) _r = add(_r, pow, base);
pow = add(pow, pow, base);
}
return _r;
}
}
Usage:
// quick test, convert from base45 to base32, using custom symbols for base85 and back to base45
var oBASE = new BASE();
var n = "THIS IS A NUMBER"; // Base 45 code = 'qr-alnum'
console.log(n); // Result: 'THIS IS A NUMBER'
var n = oBASE.convert(n,"qr-alnum",32); // Base 45 to Base 32 = 'base32hex'
console.log(n); // Result: '4ONI84LCTLJ1U08G1N'
var s85 = oBASE.rng("[0-9][a-z][A-Z].-:+=^!/*?&<>()[]{}#%$#"); // 32/Z85 custom symbols
var n = oBASE.convert(n,"base32hex",[s85]); // 'base2hex' to custom Base 85
console.log(n); // Result: 'fnaxrZP)?5d[DG'
var n = oBASE.convert(n,[s85],45); // Custom Base 85 to Base 45 = 'qr-alnum'
console.log(n); // Result: 'THIS IS A NUMBER'
function BASE(){this.convert=function(o,r,n){this.fromSymbols="object"==typeof r?r[0]:this.getsymbols(r),this.toSymbols="object"==typeof n?n[0]:this.getsymbols(n),r=this.fromSymbols.length,n=this.toSymbols.length;var i=[0];for(o=o.split("");o.length>0&&i[i.push(this.fromSymbols.indexOf(o.pop()))-1]>=0;);var h=i.shift()+i[i.length-1]>=0?i:null;if(null===h)return null;for(var e=0,l=(i=[],[1]);e<h.length;e++)i=t(i,s(h[e],l,n),n),l=s(r,l,n);e=i.length-1;for(var m="";e>=0;m+=this.toSymbols[i[e--]]);return 0==m.length?this.toSymbols[0]:m},this.symbols={32:function(){return this.base32hex},36:["[0-9][A-Z]"],45:function(){return this["qr-alnum"]},58:function(){return this.Bitcoin},64:["[A-Z][a-z][0-9]+/"],85:function(){return this["RFC 1924"]},91:['[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~"'],94:["[!-~]"],geohash:["[0-9][b-h]jkmn[p-z]"],"RFC 4648":["[A-Z][2-7]"],base32hex:["[0-9][A-V]"],"qr-alnum":["[0-9][A-Z] $%*+-./:"],Bitcoin:["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"],"RFC 1924":["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"]},this.getsymbols=function(t){return void 0===this.symbols[t]&&(this.symbols[t]=t<95?this.rng(t<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,t):this.rng("[\0-ÿ]").substring(256-t,256)),"function"==typeof this.symbols[t]&&(this.symbols[t]=this.symbols[t]()),"object"==typeof this.symbols[t]&&(this.symbols[t]=this.rng(this.symbols[t][0])),this.symbols[t]},this.rng=function(t){var s=t.match(/\[.-.\]/);return null==s?t:(s=[s[0].charCodeAt(1),s[0].charCodeAt(3)],this.rng(t.replace(RegExp("\\[(\\x"+("0"+s[0].toString(16)).slice(-2)+"-\\x"+s[1].toString(16)+")\\]","g"),String.fromCharCode(..." ".repeat(s[1]-s[0]+1).split("").map((t,o)=>o+s[0])))))},this.selftest=function(){var t={};for(var s in this.symbols)t[s]=this.getsymbols(s).length;for(s=2;s<=95;s++)t[s]=this.getsymbols(s).length;t[256]=256;var o="";t=Object.keys(t).sort(function(s,o){return t[s]-t[o]});for(var r in t){s={fromBase:10,toBASE:t[r]};var n=this.convert("",10,s.toBASE);o+="\r\noBASE.convert(n, '"+s.fromBase+"', '"+s.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n";for(var i=0;i<this.fromSymbols.length+2;i++)n=this.convert(String(i),s.fromBase,s.toBASE),o+=i+(String(i)==this.convert(n,s.toBASE,s.fromBase)?">":"?")+"["+n+"] "}return o};var t=function(t,s,o){for(var r=Math.max(t.length,s.length),n=e=0,i=[];e<r||n;n=Math.floor(h/o))var h=n+(e<t.length?t[e]:0)+(e<s.length?s[e]:0),e=i.push(h%o);return i},s=function(s,o,r){for(var n=s<0?null:[];s>0;s>>=1)1&s&&(n=t(n,o,r)),o=t(o,o,r);return n}}
Self-Test:
// quick test, convert from base45 to base32, using custom symbols for base85 and back to base45
var oBASE = new BASE();
console.log(oBASE.selftest())
function BASE(){this.convert=function(o,r,n){this.fromSymbols="object"==typeof r?r[0]:this.getsymbols(r),this.toSymbols="object"==typeof n?n[0]:this.getsymbols(n),r=this.fromSymbols.length,n=this.toSymbols.length;var i=[0];for(o=o.split("");o.length>0&&i[i.push(this.fromSymbols.indexOf(o.pop()))-1]>=0;);var h=i.shift()+i[i.length-1]>=0?i:null;if(null===h)return null;for(var e=0,l=(i=[],[1]);e<h.length;e++)i=t(i,s(h[e],l,n),n),l=s(r,l,n);e=i.length-1;for(var m="";e>=0;m+=this.toSymbols[i[e--]]);return 0==m.length?this.toSymbols[0]:m},this.symbols={32:function(){return this.base32hex},36:["[0-9][A-Z]"],45:function(){return this["qr-alnum"]},58:function(){return this.Bitcoin},64:["[A-Z][a-z][0-9]+/"],85:function(){return this["RFC 1924"]},91:['[A-Z][a-z][0-9]!#$%&()*+,./:;<=>?#[]^_`{|}~"'],94:["[!-~]"],geohash:["[0-9][b-h]jkmn[p-z]"],"RFC 4648":["[A-Z][2-7]"],base32hex:["[0-9][A-V]"],"qr-alnum":["[0-9][A-Z] $%*+-./:"],Bitcoin:["[1-9][A-H]JKLMN[P-Z][a-k][m-z]"],"RFC 1924":["[0-9][A-Z][a-z]!#$%&()*+-;<=>?#^_`{|}~"]},this.getsymbols=function(t){return void 0===this.symbols[t]&&(this.symbols[t]=t<95?this.rng(t<64?"[0-9][A-Z][a-z]+":"[A-Z][a-z][0-9][!-/][:-#][[-`][{-~]").substring(0,t):this.rng("[\0-ÿ]").substring(256-t,256)),"function"==typeof this.symbols[t]&&(this.symbols[t]=this.symbols[t]()),"object"==typeof this.symbols[t]&&(this.symbols[t]=this.rng(this.symbols[t][0])),this.symbols[t]},this.rng=function(t){var s=t.match(/\[.-.\]/);return null==s?t:(s=[s[0].charCodeAt(1),s[0].charCodeAt(3)],this.rng(t.replace(RegExp("\\[(\\x"+("0"+s[0].toString(16)).slice(-2)+"-\\x"+s[1].toString(16)+")\\]","g"),String.fromCharCode(..." ".repeat(s[1]-s[0]+1).split("").map((t,o)=>o+s[0])))))},this.selftest=function(){var t={};for(var s in this.symbols)t[s]=this.getsymbols(s).length;for(s=2;s<=95;s++)t[s]=this.getsymbols(s).length;t[256]=256;var o="";t=Object.keys(t).sort(function(s,o){return t[s]-t[o]});for(var r in t){s={fromBase:10,toBASE:t[r]};var n=this.convert("",10,s.toBASE);o+="\r\noBASE.convert(n, '"+s.fromBase+"', '"+s.toBASE+"') ["+this.fromSymbols+"] ["+this.toSymbols+"]\r\n";for(var i=0;i<this.fromSymbols.length+2;i++)n=this.convert(String(i),s.fromBase,s.toBASE),o+=i+(String(i)==this.convert(n,s.toBASE,s.fromBase)?">":"?")+"["+n+"] "}return o};var t=function(t,s,o){for(var r=Math.max(t.length,s.length),n=e=0,i=[];e<r||n;n=Math.floor(h/o))var h=n+(e<t.length?t[e]:0)+(e<s.length?s[e]:0),e=i.push(h%o);return i},s=function(s,o,r){for(var n=s<0?null:[];s>0;s>>=1)1&s&&(n=t(n,o,r)),o=t(o,o,r);return n}}

to convert numbers into different bases in JavaScript or typescript using the following ways.
function binary(number) {
console.log((number >>> 0).toString(2)); //base 2 for binary
}
binary(-7);
function octal(number) {
console.log(number.toString(8)); //base 8 for octal
}
octal(15);
function hex(number) {
console.log(number.toString(16)); //base 16 for hex
}
hex(15);
here in the binary function, you can use number.toString(2) function, but the problem occurs when representing negative numbers. so that you can use the unsigned right shift bitwise operator (>>>) to fix this issue.

I am writing this answer simply because I was kinda stupid to understand the difference between parseInt and .toString().
Here is the difference
parseInt
parseInt(str, base) will convert the str to an Integer and base here is used to tell parseInt which base the str is in. I thought the base here was what the str would get converted to. But thats not true. parseInt is just used to convert a number in any base to an integer in base10.
.toString()
number.toString(base) is used to convert the number into a number with base base and it assumes that number is in Integer form. So if the number is in hex format and you want to convert it to binary you need to convert the number first to Integer using parseInt and then you can use this function to change the base.
Hope this helps if you are as stupid as me. :)

You can also convert number in hexadecimal to decimal as follows:
var a="8F";
var b=a.split("");
var result=0;var hex_multiplier=1;
for(var i=0;i<b.length;i++){
result +=parseInt(b[i],16)*hex_multiplier;
hex_multiplier *=16;
}
console.log(result);
where you can change a with any hexadecimal number and get the result in decimal form.

You can use JavaScript's built-in integer literals for some scenarios:
function binaryToDecimal(binaryString) {
return Number('0b' + binaryString.replace('-', '')) * signOf(binaryString);;
}
function octalToDecimal(octalString) {
return Number('0o' + octalString.replace('-', '')) * signOf(octalString);
}
function hexToDecimal(hexString) {
return Number('0x' + hexString.replace('-', '')) * signOf(hexString);
}
function signOf(n) {
return n.trim()[0] == '-' ? -1 : 1;
}
console.log(binaryToDecimal('-0101'),
octalToDecimal('-052171'),
hexToDecimal('deadbeef'));

This code converts a number to an arbitrary-large base, outputting an array of digits.
function convertBase(num, base) {
var result = [];
while(num >= 1) {
result.unshift(num % base);
num = Math.floor(num / base);
}
return result;
}
console.log(convertBase(100, 12)); // [8, 4]
console.log(convertBase(5114, 64)); // [1, 15, 58]

TypeScript Implementation that supports decimal and int:
class Digit {
private readonly digitMap: Map<string, number>;
constructor(readonly digits: string, readonly maxDigits = 10) {
this.digitMap = new Map<string, number>();
for (let i = 0; i < digits.length; i += 1) {
if (digits[i] === ".") {
throw new TypeError(`Digits should not contain the "." mark.`);
}
if (this.digitMap.has(digits[i])) {
throw new TypeError(`Duplicated digit character.`);
}
this.digitMap.set(digits[i], i);
}
}
to = (x: number) => {
const int = Math.floor(x);
const dec = x - int;
let intRemains = int;
let intResult = "";
while (true) {
intResult = this.digits[intRemains % this.digits.length] + intResult;
intRemains = Math.floor(intRemains / this.digits.length);
if (intRemains === 0) break;
}
if (dec > 0) {
let decRemains = dec;
let decResult = "";
for (let i = 0; i < this.maxDigits; i += 1) {
const stepCache = decRemains * this.digits.length;
const decInt = Math.floor(stepCache);
decResult = decResult + this.digits[decInt];
decRemains = stepCache - decInt;
if (decRemains === 0) break;
}
if (decResult === "0") return intResult;
return intResult + "." + decResult;
}
return intResult;
};
from = (x: string) => {
const splitted = x.split(".");
if (splitted.length > 2) return Number.NaN;
const [int, dec] = splitted;
let result = 0;
for (let i = 0; i < int.length; i += 1) {
const digit = int[int.length - i - 1];
const oct = this.digitMap.get(digit);
if (oct === undefined) return Number.NaN;
result += oct * Math.pow(this.digits.length, i);
}
if (dec) {
for (let i = 0; i < dec.length; i += 1) {
const digit = dec[i];
const oct = this.digitMap.get(digit);
if (oct === undefined) return Number.NaN;
result += oct * Math.pow(this.digits.length, 0 - i - 1);
}
}
return result;
};
}
Here're the example about how to use it:
Creating the converter:
const d = new Digit("0123456789");
Convert a number to string:
d.to(1.2345);
Convert a string to number:
d.from("1.2345");
You can also set the second parameter to control the maximum number of decimal places, for example:
const d0 = new Digit("abcdABCD", 10);
d0.to(0.96);
// a.DBdAbcbDcD
const d1 = new Digit("abcdABCD", 20);
d1.to(0.96);
// a.DBdAbcbDcDacAdCBC

Monkey patched Number prototype for all radixes up to and including 64
( inspired by and derived from #nirvana's answer )
NumberToStringPatched.__patched = NumberToStringPatched;
if (Number.prototype.toString.__patched!==NumberToStringPatched) {
NumberToStringPatched.__unpatched = Number.prototype.toString;
Number.prototype.toString = NumberToStringPatched;
}
NumberParseIntPatched.__patched = NumberParseIntPatched;
if (Number.parseInt.__patched!==NumberParseIntPatched) {
NumberParseIntPatched.__unpatched = Number.parseInt;
Number.parseInt = NumberParseIntPatched;
}
function NumberToStringPatched(base=10) {
if (base<33||base>64) return NumberToStringPatched.__unpatched.call(this,base);
return convertToBase(this,base);
}
function NumberParseIntPatched(str,base=10) {
if (base<33||base>64) return NumberParseIntPatched.__unpatched.call(this,str,base);
return convertFromBase(str,base);
}
const numberCharSet=(()=>{
let chars = "0123456789";
for (let c='a';c<='z';c=String.fromCharCode(c.charCodeAt(0)+1)) {
chars+=c;
}
for (let c='A';c<='Z';c=String.fromCharCode(c.charCodeAt(0)+1)) {
chars+=c;
}
return (chars+'_$').split('');
})();
function convertToBase(num, base) {
var result = '';
while(num >= 1) {
result = numberCharSet[num % base]+result;
num = Math.floor(num / base);
}
return result;
}
function convertFromBase(str, base) {
let charset = numberCharSet.slice(0,base);
if (typeof str==='number') str=str.toString(base);
if (base <= 26) str=str.toLowerCase();
let digits = str.split('').map(function(c){
let x = charset.indexOf(c);
if (x<0) throw new Error("invalid digit for given radix "+base+': '+c);
return x;
});
let result = digits.shift();
while (digits.length) {
result=(result*base)+digits.shift();
}
return result;
}
for (let i = 0;i<64;i++) {
console.log(i.toString(64));
}
console.log(9000);
console.log(9 * 10 * 10 * 10);
console.log(0xf000);
console.log(15 * 16 * 16 * 16);
console.log(Number.parseInt('$000',64));
console.log(63 * 64 * 64 * 64);

Your Own recursion method for creating base2 conversions.
As mentioned by the users above
let n = 13; console.log(n.toString(2)); will result in 13 conversion from base 10 to base 2.
But in case if you want to program the same. I have written a recursive method to do the same. which just simply divide by 2 and then count remainders.
// #author Tarandeep Singh :: Created recursive converter from base 10 to base 2
// #date : 2017-04-11
// Convert Base 10 to Base 2, We should reverse the output
// For Example base10to2(10) = "0101" just do res = base10to2(10).split('').reverse().join();
function base10to2(val, res = '') {
if (val >= 2) {
res += '' + val % 2;
return base10to2(val = Math.floor(val / 2), res);
} else {
res += '' + 1
return res;
}
}
let n = 13;
var result = base10to2(n).split('').reverse().join();
document.write(`Converting ${n} into Base2 is ${result}`);