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)

380 = 1 0111 1100Mar 29 12:56 UTC (GMT)
13 = 1101Mar 29 12:52 UTC (GMT)
457 = 1 1100 1001Mar 29 12:47 UTC (GMT)
9,987 = 10 0111 0000 0011Mar 29 12:43 UTC (GMT)
9,786,532 = 1001 0101 0101 0100 1010 0100Mar 29 12:43 UTC (GMT)
897 = 11 1000 0001Mar 29 12:43 UTC (GMT)
888,945,612,612 = 1100 1110 1111 1001 0100 1001 1001 0111 0100 0100Mar 29 12:42 UTC (GMT)
666 = 10 1001 1010Mar 29 12:42 UTC (GMT)
61,432 = 1110 1111 1111 1000Mar 29 12:42 UTC (GMT)
523 = 10 0000 1011Mar 29 12:42 UTC (GMT)
3,698,745,123 = 1101 1100 0111 0110 0101 1111 0010 0011Mar 29 12:42 UTC (GMT)
35,478,769 = 10 0001 1101 0101 1100 1111 0001Mar 29 12:42 UTC (GMT)
275,123,476 = 1 0000 0110 0110 0000 1101 0001 0100Mar 29 12:41 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)