Unsigned: Integer ↗ Binary: 9 900 000 268 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 9 900 000 268(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;
  • 9 900 000 268 ÷ 2 = 4 950 000 134 + 0;
  • 4 950 000 134 ÷ 2 = 2 475 000 067 + 0;
  • 2 475 000 067 ÷ 2 = 1 237 500 033 + 1;
  • 1 237 500 033 ÷ 2 = 618 750 016 + 1;
  • 618 750 016 ÷ 2 = 309 375 008 + 0;
  • 309 375 008 ÷ 2 = 154 687 504 + 0;
  • 154 687 504 ÷ 2 = 77 343 752 + 0;
  • 77 343 752 ÷ 2 = 38 671 876 + 0;
  • 38 671 876 ÷ 2 = 19 335 938 + 0;
  • 19 335 938 ÷ 2 = 9 667 969 + 0;
  • 9 667 969 ÷ 2 = 4 833 984 + 1;
  • 4 833 984 ÷ 2 = 2 416 992 + 0;
  • 2 416 992 ÷ 2 = 1 208 496 + 0;
  • 1 208 496 ÷ 2 = 604 248 + 0;
  • 604 248 ÷ 2 = 302 124 + 0;
  • 302 124 ÷ 2 = 151 062 + 0;
  • 151 062 ÷ 2 = 75 531 + 0;
  • 75 531 ÷ 2 = 37 765 + 1;
  • 37 765 ÷ 2 = 18 882 + 1;
  • 18 882 ÷ 2 = 9 441 + 0;
  • 9 441 ÷ 2 = 4 720 + 1;
  • 4 720 ÷ 2 = 2 360 + 0;
  • 2 360 ÷ 2 = 1 180 + 0;
  • 1 180 ÷ 2 = 590 + 0;
  • 590 ÷ 2 = 295 + 0;
  • 295 ÷ 2 = 147 + 1;
  • 147 ÷ 2 = 73 + 1;
  • 73 ÷ 2 = 36 + 1;
  • 36 ÷ 2 = 18 + 0;
  • 18 ÷ 2 = 9 + 0;
  • 9 ÷ 2 = 4 + 1;
  • 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 9 900 000 268(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

9 900 000 268(10) = 10 0100 1110 0001 0110 0000 0100 0000 1100(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 9 900 000 267 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 9 900 000 269 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)