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)

809 = 11 0010 1001Feb 21 18:35 UTC (GMT)
127 = 111 1111Feb 21 18:21 UTC (GMT)
1,945 = 111 1001 1001Feb 21 18:16 UTC (GMT)
7,886 = 1 1110 1100 1110Feb 21 18:12 UTC (GMT)
444 = 1 1011 1100Feb 21 18:03 UTC (GMT)
1,950 = 111 1001 1110Feb 21 17:48 UTC (GMT)
90 = 101 1010Feb 21 17:42 UTC (GMT)
265 = 1 0000 1001Feb 21 17:18 UTC (GMT)
119 = 111 0111Feb 21 17:09 UTC (GMT)
78 = 100 1110Feb 21 16:51 UTC (GMT)
574,650 = 1000 1100 0100 1011 1010Feb 21 16:39 UTC (GMT)
1,967 = 111 1010 1111Feb 21 16:24 UTC (GMT)
192 = 1100 0000Feb 21 16:19 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)