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)

279 = 1 0001 0111May 28 23:56 UTC (GMT)
29 = 1 1101May 28 23:52 UTC (GMT)
2,030,102 = 1 1110 1111 1010 0001 0110May 28 23:45 UTC (GMT)
752 = 10 1111 0000May 28 23:43 UTC (GMT)
10,549 = 10 1001 0011 0101May 28 23:25 UTC (GMT)
255 = 1111 1111May 28 23:21 UTC (GMT)
620 = 10 0110 1100May 28 23:15 UTC (GMT)
728 = 10 1101 1000May 28 23:09 UTC (GMT)
300 = 1 0010 1100May 28 23:09 UTC (GMT)
21,301,102 = 1 0100 0101 0000 0111 0110 1110May 28 22:58 UTC (GMT)
17 = 1 0001May 28 22:58 UTC (GMT)
6 = 110May 28 22:58 UTC (GMT)
11,110,101,111,010,101,100 = 1001 1010 0010 1111 0000 0010 0001 1000 1011 1100 0110 1110 0000 0111 0110 1100May 28 22:58 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)