Unsigned: Integer ↗ Binary: 1 704 067 208 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 1 704 067 208(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;
  • 1 704 067 208 ÷ 2 = 852 033 604 + 0;
  • 852 033 604 ÷ 2 = 426 016 802 + 0;
  • 426 016 802 ÷ 2 = 213 008 401 + 0;
  • 213 008 401 ÷ 2 = 106 504 200 + 1;
  • 106 504 200 ÷ 2 = 53 252 100 + 0;
  • 53 252 100 ÷ 2 = 26 626 050 + 0;
  • 26 626 050 ÷ 2 = 13 313 025 + 0;
  • 13 313 025 ÷ 2 = 6 656 512 + 1;
  • 6 656 512 ÷ 2 = 3 328 256 + 0;
  • 3 328 256 ÷ 2 = 1 664 128 + 0;
  • 1 664 128 ÷ 2 = 832 064 + 0;
  • 832 064 ÷ 2 = 416 032 + 0;
  • 416 032 ÷ 2 = 208 016 + 0;
  • 208 016 ÷ 2 = 104 008 + 0;
  • 104 008 ÷ 2 = 52 004 + 0;
  • 52 004 ÷ 2 = 26 002 + 0;
  • 26 002 ÷ 2 = 13 001 + 0;
  • 13 001 ÷ 2 = 6 500 + 1;
  • 6 500 ÷ 2 = 3 250 + 0;
  • 3 250 ÷ 2 = 1 625 + 0;
  • 1 625 ÷ 2 = 812 + 1;
  • 812 ÷ 2 = 406 + 0;
  • 406 ÷ 2 = 203 + 0;
  • 203 ÷ 2 = 101 + 1;
  • 101 ÷ 2 = 50 + 1;
  • 50 ÷ 2 = 25 + 0;
  • 25 ÷ 2 = 12 + 1;
  • 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 1 704 067 208(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

1 704 067 208(10) = 110 0101 1001 0010 0000 0000 1000 1000(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 1 704 067 207 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 1 704 067 209 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)