Fractional Base Converter

Convert fractional numbers between bases

Integer base converters stop at the radix point. This calculator converts both the whole and fractional parts of a number between bases 2 and 36, using positional notation: each digit after the point represents negative powers of the source base, and the target fractional digits are found by repeated multiplication.

How fractional conversion works

To move from base b to decimal, multiply each digit by b^−k for its place after the radix. To move from decimal to another base, take the integer part with division and generate fractional digits by multiplying the remainder by the new base and recording the floor at each step.

For integers only, try the Integer Base Converter or Binary Fraction Converter when you work exclusively in base 2.