Converter to unsigned binary system (base two): converting decimal system (base ten) unsigned (positive) integer numbers

Convert positive integer numbers (unsigned) from the decimal system (base ten) to binary (base two)

How to convert a base ten positive integer number to base two:

1) Divide the number repeatedly by 2, keeping track of each remainder, until we get a quotient that is ZERO;

2) Construct the base 2 representation by taking all the previously calculated remainders starting from the last remainder up to the first one, in that order.

Latest positive integer numbers (unsigned) converted from decimal (base ten) to unsigned binary (base two)

150 = 1001 0110 Sep 25 00:53 UTC (GMT)
1 010 011 = 1111 0110 1001 0101 1011 Sep 25 00:52 UTC (GMT)
1 101 = 100 0100 1101 Sep 25 00:51 UTC (GMT)
47 = 10 1111 Sep 25 00:46 UTC (GMT)
22 = 1 0110 Sep 25 00:41 UTC (GMT)
183 449 = 10 1100 1100 1001 1001 Sep 25 00:37 UTC (GMT)
350 = 1 0101 1110 Sep 25 00:34 UTC (GMT)
4 443 = 1 0001 0101 1011 Sep 25 00:32 UTC (GMT)
956 = 11 1011 1100 Sep 25 00:30 UTC (GMT)
220 = 1101 1100 Sep 25 00:30 UTC (GMT)
168 = 1010 1000 Sep 25 00:30 UTC (GMT)
1 001 101 101 = 11 1011 1010 1011 1001 0111 0010 1101 Sep 25 00:26 UTC (GMT)
7 039 = 1 1011 0111 1111 Sep 25 00:26 UTC (GMT)
All decimal positive integers converted to unsigned binary (base 2)

How to convert unsigned integer numbers (positive) from decimal system (base 10) to binary = simply convert from base ten to base two

Follow the steps below to convert a base ten unsigned integer number to base two:

  • 1. Divide repeatedly by 2 the positive integer number that has to be converted to binary, keeping track of each remainder, until we get a QUOTIENT that is equal to ZERO.
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).

Example: convert the positive integer number 55 from decimal system (base ten) to binary code (base two):

  • 1. Divide repeatedly 55 by 2, keeping track of each remainder, until we get a quotient that is equal to zero:
    • division = quotient + remainder;
    • 55 ÷ 2 = 27 + 1;
    • 27 ÷ 2 = 13 + 1;
    • 13 ÷ 2 = 6 + 1;
    • 6 ÷ 2 = 3 + 0;
    • 3 ÷ 2 = 1 + 1;
    • 1 ÷ 2 = 0 + 1;
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above:
    55(10) = 11 0111(2)
  • Number 5510, positive integer (no sign), converted from decimal system (base 10) to unsigned binary (base 2) = 11 0111(2)