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Decimal to Binary converter

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How to convert Decimal to Binary

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.


Follow these steps to convert a decimal number into binary form:
  1. Divide the decimal number by 2.
  2. Get the integer quotient for the next iteration (if the number will not divide equally by 2, then round down the result to the nearest whole number).
  3. Keep a note of the remainder, it should be between 0 and 1.
  4. Repeat the steps until the quotient is equal to 0.
  5. Write out all the remainders, from bottom to top. This is the solution.
For example if the given decimal number is 139:
139 / 2691
69 / 2341
34 / 2170
17 / 281
8 / 240
4 / 220
2 / 210
1 / 201
Then the binary solution is: 10001011
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