Unsigned: Integer ↗ Binary: 1 100 480 500 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 1 100 480 500(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;
  • 1 100 480 500 ÷ 2 = 550 240 250 + 0;
  • 550 240 250 ÷ 2 = 275 120 125 + 0;
  • 275 120 125 ÷ 2 = 137 560 062 + 1;
  • 137 560 062 ÷ 2 = 68 780 031 + 0;
  • 68 780 031 ÷ 2 = 34 390 015 + 1;
  • 34 390 015 ÷ 2 = 17 195 007 + 1;
  • 17 195 007 ÷ 2 = 8 597 503 + 1;
  • 8 597 503 ÷ 2 = 4 298 751 + 1;
  • 4 298 751 ÷ 2 = 2 149 375 + 1;
  • 2 149 375 ÷ 2 = 1 074 687 + 1;
  • 1 074 687 ÷ 2 = 537 343 + 1;
  • 537 343 ÷ 2 = 268 671 + 1;
  • 268 671 ÷ 2 = 134 335 + 1;
  • 134 335 ÷ 2 = 67 167 + 1;
  • 67 167 ÷ 2 = 33 583 + 1;
  • 33 583 ÷ 2 = 16 791 + 1;
  • 16 791 ÷ 2 = 8 395 + 1;
  • 8 395 ÷ 2 = 4 197 + 1;
  • 4 197 ÷ 2 = 2 098 + 1;
  • 2 098 ÷ 2 = 1 049 + 0;
  • 1 049 ÷ 2 = 524 + 1;
  • 524 ÷ 2 = 262 + 0;
  • 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 1 100 480 500(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 100 480 500(10) = 100 0001 1001 0111 1111 1111 1111 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 1 100 480 499 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 100 480 501 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

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All the decimal system (written in base ten) positive integers (with no sign) converted to unsigned binary (in base 2)

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)