Binary-decimal-conversion

Decimal to binary and binary to decimal conversion without using native Javascript converters, string or arrays.

To Binary

Given a decimal number like 100, 200... convert it into binary 1100100, 11001000 without using any native methods like Number.toString(), string or array.

function toBinary(number) {

  let result = 0;
  let i = 0;

  /*
      Loop through the number by dividing it by 2 until we reach 1 or below
  */
  while(number >= 1) {
    let reminder = number % 2;
    if (reminder) {
      /* 
	If the reminder is 1 we add it to the power of 10 to get the 
	place value. ie. 100, 1000 ... 
      */
      result += Math.pow(10, i);
    }
    /* 
	Increment the i value
	Reduce the number by dividing it by 2
    */
    i++;
    number = Math.floor(number / 2);
  }

  return result;
}

console.log('To Binary:');
console.log('100 -> ', toBinary(100)); // 1100100
console.log('500 -> ', toBinary(500)); // 111110100

To Decimal

Given a binary number like 1100100, 11001000 convert it into binary 100, 200... without using any native methods like Number.toString(), string or array.

function toDecimal(number) {

  let result = 0;
  let i = 0;

  /*
     Loop through the number by dividing it by 10 until we reach 0 or below
  */
  while(number > 0) {
    let reminder = number % 10;
    if (reminder) {
      /* 
          Get the last digit of the binary number and if it is 1,
          then add it to the result by 2 to the power of the i.
      */
      result += Math.pow(2, i);
    }
    /*
       Increment the i in every iteration.
       reduce the number by 10.
    */
    i++;
    number = Math.floor(number / 10);
  }
  return result;
}

console.log('To Decimal:');
console.log('1100100 -> ', toDecimal(1100100)); // 100
console.log('111110100 -> ', toDecimal(111110100));	 // 500