Base Two: Unsigned Base Ten Number 11 010 110 000 Converted To Base Two Binary Code. The Natural Number (Positive Integer, No Sign) Converted From Decimal System and Written As Binary Code

Base ten unsigned number 11 010 110 000(10) converted and written as a base two binary code

1. Divide the number repeatedly by 2:

Keep track of each remainder.

Stop when getting a quotient that is equal to zero.


  • division = quotient + remainder;
  • 11 010 110 000 ÷ 2 = 5 505 055 000 + 0;
  • 5 505 055 000 ÷ 2 = 2 752 527 500 + 0;
  • 2 752 527 500 ÷ 2 = 1 376 263 750 + 0;
  • 1 376 263 750 ÷ 2 = 688 131 875 + 0;
  • 688 131 875 ÷ 2 = 344 065 937 + 1;
  • 344 065 937 ÷ 2 = 172 032 968 + 1;
  • 172 032 968 ÷ 2 = 86 016 484 + 0;
  • 86 016 484 ÷ 2 = 43 008 242 + 0;
  • 43 008 242 ÷ 2 = 21 504 121 + 0;
  • 21 504 121 ÷ 2 = 10 752 060 + 1;
  • 10 752 060 ÷ 2 = 5 376 030 + 0;
  • 5 376 030 ÷ 2 = 2 688 015 + 0;
  • 2 688 015 ÷ 2 = 1 344 007 + 1;
  • 1 344 007 ÷ 2 = 672 003 + 1;
  • 672 003 ÷ 2 = 336 001 + 1;
  • 336 001 ÷ 2 = 168 000 + 1;
  • 168 000 ÷ 2 = 84 000 + 0;
  • 84 000 ÷ 2 = 42 000 + 0;
  • 42 000 ÷ 2 = 21 000 + 0;
  • 21 000 ÷ 2 = 10 500 + 0;
  • 10 500 ÷ 2 = 5 250 + 0;
  • 5 250 ÷ 2 = 2 625 + 0;
  • 2 625 ÷ 2 = 1 312 + 1;
  • 1 312 ÷ 2 = 656 + 0;
  • 656 ÷ 2 = 328 + 0;
  • 328 ÷ 2 = 164 + 0;
  • 164 ÷ 2 = 82 + 0;
  • 82 ÷ 2 = 41 + 0;
  • 41 ÷ 2 = 20 + 1;
  • 20 ÷ 2 = 10 + 0;
  • 10 ÷ 2 = 5 + 0;
  • 5 ÷ 2 = 2 + 1;
  • 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 11 010 110 000(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

11 010 110 000(10) = 10 1001 0000 0100 0000 1111 0010 0011 0000(2)

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

» Unsigned base ten number 11 010 110 001 converted and written as a base two binary code

» New: All the Calculations Performed by Our Visitors: Unsigned base ten numbers (natural numbers, positive integers) converted and written as base two binary code. Data organized on a Monthly Basis

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)