Unsigned: Integer ↗ Binary: 24 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 24(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;
  • 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 24(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

24(10) = 1 1000(2)

Spaces were used to group digits: for binary, by 4, for decimal, by 3.

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 20 647 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 1 101 111 010 110 114 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 19 946 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 514 643 464 545 466 801 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 55 327 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 16 052 110 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 33 743 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 33 554 433 221 148 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 42 408 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 22 073 (with no sign) as a base two unsigned binary number Jul 13 12:05 UTC (GMT)
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)