Converter to unsigned binary system (base 2): converting decimal system (base 10) unsigned (positive) integer numbers

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

How to convert a base 10 positive integer number to base 2:

1) Divide the number repeatedly by 2, keeping track of each remainder, until getting a quotient that is 0;

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)

36 038 797 019 029 259 to unsigned binary (base 2) = ? Sep 28 09:28 UTC (GMT)
13 029 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
1 001 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
25 000 010 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
838 595 768 949 005 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
784 561 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
31 352 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
57 494 to unsigned binary (base 2) = ? Sep 28 09:27 UTC (GMT)
131 759 to unsigned binary (base 2) = ? Sep 28 09:26 UTC (GMT)
2 147 549 190 to unsigned binary (base 2) = ? Sep 28 09:26 UTC (GMT)
385 935 853 to unsigned binary (base 2) = ? Sep 28 09:26 UTC (GMT)
536 870 895 to unsigned binary (base 2) = ? Sep 28 09:26 UTC (GMT)
10 896 to unsigned binary (base 2) = ? Sep 28 09:25 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)