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)

45 = 10 1101 Nov 24 21:41 UTC (GMT)
19 = 1 0011 Nov 24 21:36 UTC (GMT)
10 110 = 10 0111 0111 1110 Nov 24 21:36 UTC (GMT)
157 = 1001 1101 Nov 24 21:26 UTC (GMT)
179 = 1011 0011 Nov 24 21:13 UTC (GMT)
355 = 1 0110 0011 Nov 24 21:07 UTC (GMT)
40 = 10 1000 Nov 24 21:07 UTC (GMT)
1 319 = 101 0010 0111 Nov 24 21:06 UTC (GMT)
556 145 635 = 10 0001 0010 0110 0001 1011 1110 0011 Nov 24 21:03 UTC (GMT)
3 041 = 1011 1110 0001 Nov 24 21:00 UTC (GMT)
11 110 = 10 1011 0110 0110 Nov 24 20:26 UTC (GMT)
34 = 10 0010 Nov 24 20:13 UTC (GMT)
45 = 10 1101 Nov 24 19:47 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)