Unsigned: Integer ↗ Binary: 1 060 320 064 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 1 060 320 064(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;
  • 1 060 320 064 ÷ 2 = 530 160 032 + 0;
  • 530 160 032 ÷ 2 = 265 080 016 + 0;
  • 265 080 016 ÷ 2 = 132 540 008 + 0;
  • 132 540 008 ÷ 2 = 66 270 004 + 0;
  • 66 270 004 ÷ 2 = 33 135 002 + 0;
  • 33 135 002 ÷ 2 = 16 567 501 + 0;
  • 16 567 501 ÷ 2 = 8 283 750 + 1;
  • 8 283 750 ÷ 2 = 4 141 875 + 0;
  • 4 141 875 ÷ 2 = 2 070 937 + 1;
  • 2 070 937 ÷ 2 = 1 035 468 + 1;
  • 1 035 468 ÷ 2 = 517 734 + 0;
  • 517 734 ÷ 2 = 258 867 + 0;
  • 258 867 ÷ 2 = 129 433 + 1;
  • 129 433 ÷ 2 = 64 716 + 1;
  • 64 716 ÷ 2 = 32 358 + 0;
  • 32 358 ÷ 2 = 16 179 + 0;
  • 16 179 ÷ 2 = 8 089 + 1;
  • 8 089 ÷ 2 = 4 044 + 1;
  • 4 044 ÷ 2 = 2 022 + 0;
  • 2 022 ÷ 2 = 1 011 + 0;
  • 1 011 ÷ 2 = 505 + 1;
  • 505 ÷ 2 = 252 + 1;
  • 252 ÷ 2 = 126 + 0;
  • 126 ÷ 2 = 63 + 0;
  • 63 ÷ 2 = 31 + 1;
  • 31 ÷ 2 = 15 + 1;
  • 15 ÷ 2 = 7 + 1;
  • 7 ÷ 2 = 3 + 1;
  • 3 ÷ 2 = 1 + 1;
  • 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 1 060 320 064(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 060 320 064(10) = 11 1111 0011 0011 0011 0011 0100 0000(2)

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

The latest positive (unsigned) integer numbers converted from decimal system (written in base ten) to unsigned binary (written in base two)

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)