Need to express decimal values as binary numbers? This online Decimal to Binary Converter helps you transform base-10 numbers into base-2 notation for educational, development, and technical purposes.
Type or paste a decimal value into the converter to quickly obtain its binary equivalent. For reverse calculations, you may also try our Binary to Decimal Converter.
How Decimal to Binary Conversion Works
Decimal notation is based on powers of 10, whereas binary notation is based on powers of 2. To convert a decimal value into binary, the number is successively divided by 2 until the quotient becomes zero, and the remainders are then read from bottom to top.
Only numeric digits between 0 and 9 are accepted in a decimal value. Any alphabetic characters or special symbols are considered invalid and can interrupt the conversion.
Decimal to Binary Examples
Example 1
Decimal number:
13Binary result:
1 1 0 1Example 2
Decimal number:
58Binary result:
1 1 1 0 1 0Example 3
Decimal number:
255Binary result:
1 1 1 1 1 1 1 1Related Tools
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