Binary Fraction Converter

Convert a decimal value (with a fractional part) to binary.

Binary 101.101

Formula: Whole part by division, fraction by repeated ×2

Step-by-step with your numbers:

1. Values used:

2. Decimal value = 5.625

4. Binary = 101.101

Did we solve your problem today?

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.

5.625 = 101.101 in binary.

Why might it not terminate?

Many decimal fractions repeat forever in binary (like 0.1), so the result is truncated.