Math
Binary Fraction Converter
Convert a decimal value (with a fractional part) to binary.
Did this calculator solve your problem today?
✓ Thank you for your feedback!
Report issue to loopingon.com
Sponsored
Convert numbers with decimal fractions into binary, including the bits after the point.
The math behind it
Convert the whole part by division. For the fraction, repeatedly multiply by 2 and record each whole-number carry as the next binary bit.
Worked Example
5.625 = 101.101 in binary.Frequently Asked Questions
Why might it not terminate?
Many decimal fractions repeat forever in binary (like 0.1), so the result is truncated.
Advertisement