Unsigned: Integer ↗ Binary: 100 110 100 297 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 100 110 100 297(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;
  • 100 110 100 297 ÷ 2 = 50 055 050 148 + 1;
  • 50 055 050 148 ÷ 2 = 25 027 525 074 + 0;
  • 25 027 525 074 ÷ 2 = 12 513 762 537 + 0;
  • 12 513 762 537 ÷ 2 = 6 256 881 268 + 1;
  • 6 256 881 268 ÷ 2 = 3 128 440 634 + 0;
  • 3 128 440 634 ÷ 2 = 1 564 220 317 + 0;
  • 1 564 220 317 ÷ 2 = 782 110 158 + 1;
  • 782 110 158 ÷ 2 = 391 055 079 + 0;
  • 391 055 079 ÷ 2 = 195 527 539 + 1;
  • 195 527 539 ÷ 2 = 97 763 769 + 1;
  • 97 763 769 ÷ 2 = 48 881 884 + 1;
  • 48 881 884 ÷ 2 = 24 440 942 + 0;
  • 24 440 942 ÷ 2 = 12 220 471 + 0;
  • 12 220 471 ÷ 2 = 6 110 235 + 1;
  • 6 110 235 ÷ 2 = 3 055 117 + 1;
  • 3 055 117 ÷ 2 = 1 527 558 + 1;
  • 1 527 558 ÷ 2 = 763 779 + 0;
  • 763 779 ÷ 2 = 381 889 + 1;
  • 381 889 ÷ 2 = 190 944 + 1;
  • 190 944 ÷ 2 = 95 472 + 0;
  • 95 472 ÷ 2 = 47 736 + 0;
  • 47 736 ÷ 2 = 23 868 + 0;
  • 23 868 ÷ 2 = 11 934 + 0;
  • 11 934 ÷ 2 = 5 967 + 0;
  • 5 967 ÷ 2 = 2 983 + 1;
  • 2 983 ÷ 2 = 1 491 + 1;
  • 1 491 ÷ 2 = 745 + 1;
  • 745 ÷ 2 = 372 + 1;
  • 372 ÷ 2 = 186 + 0;
  • 186 ÷ 2 = 93 + 0;
  • 93 ÷ 2 = 46 + 1;
  • 46 ÷ 2 = 23 + 0;
  • 23 ÷ 2 = 11 + 1;
  • 11 ÷ 2 = 5 + 1;
  • 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 100 110 100 297(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

100 110 100 297(10) = 1 0111 0100 1111 0000 0110 1110 0111 0100 1001(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 100 110 100 296 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 100 110 100 298 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

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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)