Unsigned: Integer ↗ Binary: 3 237 478 482 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 3 237 478 482(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;
  • 3 237 478 482 ÷ 2 = 1 618 739 241 + 0;
  • 1 618 739 241 ÷ 2 = 809 369 620 + 1;
  • 809 369 620 ÷ 2 = 404 684 810 + 0;
  • 404 684 810 ÷ 2 = 202 342 405 + 0;
  • 202 342 405 ÷ 2 = 101 171 202 + 1;
  • 101 171 202 ÷ 2 = 50 585 601 + 0;
  • 50 585 601 ÷ 2 = 25 292 800 + 1;
  • 25 292 800 ÷ 2 = 12 646 400 + 0;
  • 12 646 400 ÷ 2 = 6 323 200 + 0;
  • 6 323 200 ÷ 2 = 3 161 600 + 0;
  • 3 161 600 ÷ 2 = 1 580 800 + 0;
  • 1 580 800 ÷ 2 = 790 400 + 0;
  • 790 400 ÷ 2 = 395 200 + 0;
  • 395 200 ÷ 2 = 197 600 + 0;
  • 197 600 ÷ 2 = 98 800 + 0;
  • 98 800 ÷ 2 = 49 400 + 0;
  • 49 400 ÷ 2 = 24 700 + 0;
  • 24 700 ÷ 2 = 12 350 + 0;
  • 12 350 ÷ 2 = 6 175 + 0;
  • 6 175 ÷ 2 = 3 087 + 1;
  • 3 087 ÷ 2 = 1 543 + 1;
  • 1 543 ÷ 2 = 771 + 1;
  • 771 ÷ 2 = 385 + 1;
  • 385 ÷ 2 = 192 + 1;
  • 192 ÷ 2 = 96 + 0;
  • 96 ÷ 2 = 48 + 0;
  • 48 ÷ 2 = 24 + 0;
  • 24 ÷ 2 = 12 + 0;
  • 12 ÷ 2 = 6 + 0;
  • 6 ÷ 2 = 3 + 0;
  • 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 3 237 478 482(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

3 237 478 482(10) = 1100 0000 1111 1000 0000 0000 0101 0010(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 3 237 478 481 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 3 237 478 483 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)