Unsigned: Integer ↗ Binary: 10 010 010 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 10 010 010(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;
  • 10 010 010 ÷ 2 = 5 005 005 + 0;
  • 5 005 005 ÷ 2 = 2 502 502 + 1;
  • 2 502 502 ÷ 2 = 1 251 251 + 0;
  • 1 251 251 ÷ 2 = 625 625 + 1;
  • 625 625 ÷ 2 = 312 812 + 1;
  • 312 812 ÷ 2 = 156 406 + 0;
  • 156 406 ÷ 2 = 78 203 + 0;
  • 78 203 ÷ 2 = 39 101 + 1;
  • 39 101 ÷ 2 = 19 550 + 1;
  • 19 550 ÷ 2 = 9 775 + 0;
  • 9 775 ÷ 2 = 4 887 + 1;
  • 4 887 ÷ 2 = 2 443 + 1;
  • 2 443 ÷ 2 = 1 221 + 1;
  • 1 221 ÷ 2 = 610 + 1;
  • 610 ÷ 2 = 305 + 0;
  • 305 ÷ 2 = 152 + 1;
  • 152 ÷ 2 = 76 + 0;
  • 76 ÷ 2 = 38 + 0;
  • 38 ÷ 2 = 19 + 0;
  • 19 ÷ 2 = 9 + 1;
  • 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 10 010 010(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

10 010 010(10) = 1001 1000 1011 1101 1001 1010(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 10 010 009 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 10 010 011 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

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

Convert and write the decimal system (written in base ten) positive integer number 3 463 320 959 532 937 410 (with no sign) as a base two unsigned binary number May 03 04:02 UTC (GMT)
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Convert and write the decimal system (written in base ten) positive integer number 28 331 (with no sign) as a base two unsigned binary number May 03 04:02 UTC (GMT)
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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)