Unsigned: Integer ↗ Binary: 1 111 100 996 Convert the Positive Integer (Whole Number) From Base Ten (10) To Base Two (2), Conversion and Writing of Decimal System Number as Unsigned Binary Code

Unsigned (positive) integer number 1 111 100 996(10)
converted and written as an unsigned binary (base 2) = ?

1. Divide the number repeatedly by 2:

Keep track of each remainder.

We stop when we get a quotient that is equal to zero.

  • division = quotient + remainder;
  • 1 111 100 996 ÷ 2 = 555 550 498 + 0;
  • 555 550 498 ÷ 2 = 277 775 249 + 0;
  • 277 775 249 ÷ 2 = 138 887 624 + 1;
  • 138 887 624 ÷ 2 = 69 443 812 + 0;
  • 69 443 812 ÷ 2 = 34 721 906 + 0;
  • 34 721 906 ÷ 2 = 17 360 953 + 0;
  • 17 360 953 ÷ 2 = 8 680 476 + 1;
  • 8 680 476 ÷ 2 = 4 340 238 + 0;
  • 4 340 238 ÷ 2 = 2 170 119 + 0;
  • 2 170 119 ÷ 2 = 1 085 059 + 1;
  • 1 085 059 ÷ 2 = 542 529 + 1;
  • 542 529 ÷ 2 = 271 264 + 1;
  • 271 264 ÷ 2 = 135 632 + 0;
  • 135 632 ÷ 2 = 67 816 + 0;
  • 67 816 ÷ 2 = 33 908 + 0;
  • 33 908 ÷ 2 = 16 954 + 0;
  • 16 954 ÷ 2 = 8 477 + 0;
  • 8 477 ÷ 2 = 4 238 + 1;
  • 4 238 ÷ 2 = 2 119 + 0;
  • 2 119 ÷ 2 = 1 059 + 1;
  • 1 059 ÷ 2 = 529 + 1;
  • 529 ÷ 2 = 264 + 1;
  • 264 ÷ 2 = 132 + 0;
  • 132 ÷ 2 = 66 + 0;
  • 66 ÷ 2 = 33 + 0;
  • 33 ÷ 2 = 16 + 1;
  • 16 ÷ 2 = 8 + 0;
  • 8 ÷ 2 = 4 + 0;
  • 4 ÷ 2 = 2 + 0;
  • 2 ÷ 2 = 1 + 0;
  • 1 ÷ 2 = 0 + 1;

2. Construct the base 2 representation of the positive number:

Take all the remainders starting from the bottom of the list constructed above.


Number 1 111 100 996(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 111 100 996(10) = 100 0010 0011 1010 0000 1110 0100 0100(2)

Spaces were used to group digits: for binary, by 4, for decimal, by 3.

More operations on unsigned integer numbers:

» Unsigned (positive) integer number 1 111 100 995 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 111 100 997 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

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All the decimal system (written in base ten) positive integers (with no sign) converted to unsigned binary (in 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)