Binary Fraction Converter
Convert binary fractions to decimal and vice versa. Supports fractional parts with high precision.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator converts between binary fractions (e.g., 101.101) and decimal fractions (e.g., 5.625).
- Select conversion direction from the dropdown: Binary to Decimal or Decimal to Binary.
- Enter your value in the input field. Use only digits and an optional decimal point (no spaces or other characters).
- Click "Convert" (or press Enter). The result appears in green, with a formula summary below.
Input rules:
- Binary: only 0 and 1, with an optional . (e.g.,
1101.01). - Decimal: digits only, with an optional . (e.g.,
13.25). - Negative numbers and scientific notation are not supported.
Note: For decimal-to-binary conversion, the result is limited to 20 fractional bits to avoid infinite loops.
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Frequently Asked Questions
A binary fraction is a number expressed in base-2 that includes a fractional part, e.g., 101.101.
Separate integer and fractional parts. Convert integer part using powers of 2, and fractional part using negative powers of 2.
Some decimal fractions have infinite binary representations. The converter uses a maximum of 20 bits for the fractional part to avoid infinite loops.