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));
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
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.
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}`);
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.
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.