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Commit aba1fd7

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intial commit number systems
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‎tuts/number-systems/README.md

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## Number System
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Every software engineer should know these conversions.
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#TODO:
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Yet to handle decimal digits.
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//using reduce
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const solution = binary => {
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return binary.split("").reduce((result, bit, index) => {
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return (
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result + parseInt(binary[binary.length - index - 1]) * Math.pow(2, index)
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);
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}, 0);
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};
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const usingForLoops = binary => {
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let result = 0,
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power = 1;
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for (let index = binary.length - 1; index >= 0; index--) {
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if (binary[index] === "1") {
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result += power * binary[index];
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}
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power *= 2;
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}
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return result;
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};
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console.log(usingForLoops("101"));

‎tuts/number-systems/binary-to-hex.js

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const getHex = group => {
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const mapping = {};
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mapping["0000"] = "0";
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mapping["0001"] = "1";
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mapping["0010"] = "2";
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mapping["0011"] = "3";
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mapping["0100"] = "4";
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mapping["0101"] = "5";
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mapping["0110"] = "6";
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mapping["0111"] = "7";
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mapping["1000"] = "8";
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mapping["1001"] = "9";
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mapping["1010"] = "A";
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mapping["1011"] = "B";
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mapping["1100"] = "C";
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mapping["1101"] = "D";
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mapping["1110"] = "E";
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mapping["1111"] = "F";
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return mapping[group];
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};
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const solution = binary => {
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let result = [];
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const length = binary.length;
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const extra = length % 4;
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for (let i = length; i > extra; i -= 4) {
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result.unshift(getHex(binary.slice(i - 4, i)));
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}
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result.unshift(
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getHex(new Array(4 - extra).fill("0").join("") + binary.slice(0, extra))
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);
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return result.join("");
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};
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const solution = decimal => {
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if (decimal < 2) {
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return decimal + "";
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}
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return solution(Math.floor(decimal / 2)) + (decimal % 2);
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};
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console.log(solution(1));

‎tuts/number-systems/decimal-to-hex.js

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//can have a mapping instead of this
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const getHex = digit => {
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digit = parseInt(digit);
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if (digit > 9) {
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return String.fromCharCode(55 + digit);
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}
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return digit + "";
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};
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const solution = decimal => {
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if (decimal < 16) {
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return getHex(decimal);
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}
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return solution(Math.floor(decimal / 16)) + getHex(decimal % 2);
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};
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console.log(solution(160));

‎tuts/number-systems/hex-to-binary.js

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const getBinary = group => {
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const mapping = {};
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mapping["0"] = "0000";
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mapping["1"] = "0001";
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mapping["2"] = "0010";
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mapping["3"] = "0011";
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mapping["4"] = "0100";
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mapping["5"] = "0101";
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mapping["6"] = "0110";
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mapping["7"] = "0111";
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mapping["8"] = "1000";
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mapping["9"] = "1001";
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mapping["A"] = "1010";
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mapping["B"] = "1011";
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mapping["C"] = "1100";
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mapping["D"] = "1101";
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mapping["E"] = "1110";
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mapping["F"] = "1111";
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return mapping[group];
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};
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const solution = hex => {
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return hex
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.split("")
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.map(digit => {
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return getBinary(digit);
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})
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.join("");
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};

‎tuts/number-systems/hex-to-decimal.js

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let convertHex = digit => {
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return mapping[digit];
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};
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//using reduce
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const solution = hex => {
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return hex.split("").reduce((result, bit, index) => {
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return (
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result + convertHex(hex[hex.length - index - 1]) * Math.pow(16, index)
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);
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}, 0);
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};
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const usingForLoops = hex => {
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let result = 0,
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power = 1;
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for (let index = hex.length - 1; index >= 0; index--) {
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result += power * convertHex(hex[index]);
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power *= 16;
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}
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return result;
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};
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const mapping = {};
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mapping["0"] = 0;
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mapping["1"] = 1;
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mapping["2"] = 2;
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mapping["3"] = 3;
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mapping["4"] = 4;
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mapping["5"] = 5;
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mapping["6"] = 6;
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mapping["7"] = 7;
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mapping["8"] = 8;
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mapping["9"] = 9;
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mapping["A"] = 10;
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mapping["B"] = 11;
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mapping["C"] = 12;
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mapping["D"] = 13;
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mapping["E"] = 14;
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mapping["F"] = 15;
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console.log(solution("A0"));

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