Formula
For k fractional bits, value = signed integer formed by all bits / 2^k.
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Conversion is exact and includes trailing fractional zeroes. No repeating binary notation, exponent notation or two’s-complement interpretation.
Example Calculation
Example inputs
- Binary number: 101.101
101.101₂=4+1+1/2+1/8=5.625=45/8.
Frequently asked questions
How do I use this calculator?
Enter binary number. The result updates automatically. Use Reset to restore the example values.
What method does it use?
For k fractional bits, value = signed integer formed by all bits / 2^k.. Conversion is exact and includes trailing fractional zeroes. No repeating binary notation, exponent notation or two’s-complement interpretation.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.