Unsigned: Integer ↗ Binary: 10 110 110 119 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 10 110 110 119(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;
  • 10 110 110 119 ÷ 2 = 5 055 055 059 + 1;
  • 5 055 055 059 ÷ 2 = 2 527 527 529 + 1;
  • 2 527 527 529 ÷ 2 = 1 263 763 764 + 1;
  • 1 263 763 764 ÷ 2 = 631 881 882 + 0;
  • 631 881 882 ÷ 2 = 315 940 941 + 0;
  • 315 940 941 ÷ 2 = 157 970 470 + 1;
  • 157 970 470 ÷ 2 = 78 985 235 + 0;
  • 78 985 235 ÷ 2 = 39 492 617 + 1;
  • 39 492 617 ÷ 2 = 19 746 308 + 1;
  • 19 746 308 ÷ 2 = 9 873 154 + 0;
  • 9 873 154 ÷ 2 = 4 936 577 + 0;
  • 4 936 577 ÷ 2 = 2 468 288 + 1;
  • 2 468 288 ÷ 2 = 1 234 144 + 0;
  • 1 234 144 ÷ 2 = 617 072 + 0;
  • 617 072 ÷ 2 = 308 536 + 0;
  • 308 536 ÷ 2 = 154 268 + 0;
  • 154 268 ÷ 2 = 77 134 + 0;
  • 77 134 ÷ 2 = 38 567 + 0;
  • 38 567 ÷ 2 = 19 283 + 1;
  • 19 283 ÷ 2 = 9 641 + 1;
  • 9 641 ÷ 2 = 4 820 + 1;
  • 4 820 ÷ 2 = 2 410 + 0;
  • 2 410 ÷ 2 = 1 205 + 0;
  • 1 205 ÷ 2 = 602 + 1;
  • 602 ÷ 2 = 301 + 0;
  • 301 ÷ 2 = 150 + 1;
  • 150 ÷ 2 = 75 + 0;
  • 75 ÷ 2 = 37 + 1;
  • 37 ÷ 2 = 18 + 1;
  • 18 ÷ 2 = 9 + 0;
  • 9 ÷ 2 = 4 + 1;
  • 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 10 110 110 119(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

10 110 110 119(10) = 10 0101 1010 1001 1100 0000 1001 1010 0111(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 10 110 110 118 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 10 110 110 120 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)