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)

197 = 1100 0101 Jul 23 11:39 UTC (GMT)
118 = 111 0110 Jul 23 11:37 UTC (GMT)
69 = 100 0101 Jul 23 11:33 UTC (GMT)
69 = 100 0101 Jul 23 11:32 UTC (GMT)
118 = 111 0110 Jul 23 11:27 UTC (GMT)
122 = 111 1010 Jul 23 11:23 UTC (GMT)
1 001 001 101 011 = 1110 1001 0001 0000 0101 0000 1010 0110 1101 0011 Jul 23 11:23 UTC (GMT)
139 = 1000 1011 Jul 23 11:01 UTC (GMT)
5 626 589 = 101 0101 1101 1010 1101 1101 Jul 23 10:58 UTC (GMT)
11 110 = 10 1011 0110 0110 Jul 23 10:57 UTC (GMT)
577 = 10 0100 0001 Jul 23 10:53 UTC (GMT)
1 243 976 = 1 0010 1111 1011 0100 1000 Jul 23 10:51 UTC (GMT)
1 111 = 100 0101 0111 Jul 23 10:47 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)