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

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

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

2,130,102 = 10 0000 1000 0000 1011 0110Jan 18 09:57 UTC (GMT)
11,000,111 = 1010 0111 1101 1001 0010 1111Jan 18 09:57 UTC (GMT)
9,032 = 10 0011 0100 1000Jan 18 09:57 UTC (GMT)
375 = 1 0111 0111Jan 18 09:57 UTC (GMT)
1,221 = 100 1100 0101Jan 18 09:57 UTC (GMT)
501 = 1 1111 0101Jan 18 09:57 UTC (GMT)
257 = 1 0000 0001Jan 18 09:57 UTC (GMT)
289 = 1 0010 0001Jan 18 09:57 UTC (GMT)
100,110 = 1 1000 0111 0000 1110Jan 18 09:57 UTC (GMT)
9,866 = 10 0110 1000 1010Jan 18 09:57 UTC (GMT)
8,251 = 10 0000 0011 1011Jan 18 09:57 UTC (GMT)
641 = 10 1000 0001Jan 18 09:57 UTC (GMT)
1,063 = 100 0010 0111Jan 18 09:57 UTC (GMT)

How to convert unsigned numbers from decimal system to binary code = simply convert from base ten to base two

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

  • 1. Divide repeatedly by 2 the decimal number that has to be converted to binary, keeping track of each remainder. STOP when the last quotient of the operations is ZERO.
  • 2. Construct the base 2 representation of the positive number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions above, at the point 1, becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).

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

  • 1. Divide repeatedly 55 by 2, keeping track of each remainder:
  • iteration division quotient remainder
    1 55 : 2 = 27 1
    2 27 : 2 = 13 1
    3 13 : 2 = 6 1
    4 6 : 2 = 3 0
    5 3 : 2 = 1 1
    6 1 : 2 = 0 1
    Last quotient is ZERO => FULL STOP
  • 2. Construct the base 2 representation of the positive 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)