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Binary Fraction Converter

Convert a decimal fraction into binary at a chosen precision, or read a binary fraction back as a decimal.

Convert a fraction

Result: —
Nature: —
Enter a fraction to convert it.

How to use the Binary Fraction Converter

  1. Pick the conversion direction and the precision you want.
  2. Type a decimal fraction such as 0.1 or a binary one such as 0.0011.
  3. Read the converted value and whether the expansion repeats.

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Frequently Asked Questions

Common questions about the free online binary fraction converter.

Enter the fraction, choose the precision and the binary expansion appears, with repeating groups shown in brackets.
A fraction terminates in binary only when its denominator is a power of two, so values like one tenth repeat forever.
The brackets mark the repeating cycle of the binary expansion, which continues for the remaining digits.
Switch the direction, type the bits after the binary point and the decimal value is produced at your chosen precision.
It sets how many binary bits are produced, or how many decimal digits when you convert from binary to decimal.
No. It repeats, so any stored value is a rounded approximation of the true decimal fraction.
The converter works on the fractional part, so enter the fraction on its own, for example 0.75 rather than 1.75.
Binary has just two digits. Each step doubles the remainder and records whether it passed one.
It is exact whenever the expansion terminates, and the nature line says clearly when the value was rounded.
Yes. The conversion is done in your browser, so it works without a server and nothing is uploaded.

Last updated: October 10, 2026