Unsigned: Integer ↗ Binary: 1 101 011 156 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 1 101 011 156(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;
  • 1 101 011 156 ÷ 2 = 550 505 578 + 0;
  • 550 505 578 ÷ 2 = 275 252 789 + 0;
  • 275 252 789 ÷ 2 = 137 626 394 + 1;
  • 137 626 394 ÷ 2 = 68 813 197 + 0;
  • 68 813 197 ÷ 2 = 34 406 598 + 1;
  • 34 406 598 ÷ 2 = 17 203 299 + 0;
  • 17 203 299 ÷ 2 = 8 601 649 + 1;
  • 8 601 649 ÷ 2 = 4 300 824 + 1;
  • 4 300 824 ÷ 2 = 2 150 412 + 0;
  • 2 150 412 ÷ 2 = 1 075 206 + 0;
  • 1 075 206 ÷ 2 = 537 603 + 0;
  • 537 603 ÷ 2 = 268 801 + 1;
  • 268 801 ÷ 2 = 134 400 + 1;
  • 134 400 ÷ 2 = 67 200 + 0;
  • 67 200 ÷ 2 = 33 600 + 0;
  • 33 600 ÷ 2 = 16 800 + 0;
  • 16 800 ÷ 2 = 8 400 + 0;
  • 8 400 ÷ 2 = 4 200 + 0;
  • 4 200 ÷ 2 = 2 100 + 0;
  • 2 100 ÷ 2 = 1 050 + 0;
  • 1 050 ÷ 2 = 525 + 0;
  • 525 ÷ 2 = 262 + 1;
  • 262 ÷ 2 = 131 + 0;
  • 131 ÷ 2 = 65 + 1;
  • 65 ÷ 2 = 32 + 1;
  • 32 ÷ 2 = 16 + 0;
  • 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 1 101 011 156(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 101 011 156(10) = 100 0001 1010 0000 0001 1000 1101 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 1 101 011 155 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 101 011 157 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)