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Encoding a number string into a string of 0s and 1s in JavaScript
Problem
We are required to write a JavaScript function that takes in a string that represents a decimal number.
Our function should convert/encode this decimal into binary based on the following rules.
For each digit d of n
- Let k be the number of bits of d
- We write k-1 times the digit 0 followed by the digit 1
- We write digit d as a binary string, with the rightmost bit being the least significant
- Lastly, we concatenate the result of b) and c) to get the coding of d
At last, we concatenate all the results got for the digits of n.
Thus, code 2 as 0110 and 3 as 0111
Example
Following is the code −
const str = '77338855';
const encodeNumString = (str = '') => {
const buildarray = (string = '') => {
let n = string.split(''), res = '';
n.forEach(x => {
let num = Number(x).toString(2);
num = '0'.repeat(num.length -1) + '1' + num;
res += num;
});
return res;
}
const arr = [];
let res = "";
for (let i = 0; i < 10; i++){
arr.push(buildarray(String(i)));
};
while (str.length){
for (let i = 0; i < 10; i++) {
if (str.startsWith(arr[i])) {
res += String(i);
str = str.slice(arr[i].length);
break;
}
}
}
return res;
};
console.log(encodeNumString(str));Output
Following is the console output −
001111001111011101110001100000011000001101001101
Updated on: 19-Apr-2021
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