How this calculation works
Interpret a bit word with a fixed number of positions after the binary point.
THE FORMULA
Value = unsigned integer / 2ᶠA worked example
Word 101 with three fractional bits represents 0.101₂ = 5/8.
Good to know
Convert the bit word to its unsigned decimal integer first. For 101₂, enter 5.
Reference: NIST DLMF, Functions of Number Theory (opens in a new tab) ↗
Read the result
Interpret a bit word with a fixed number of positions after the binary point.
The primary result is labeled “Decimal value”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Convert the bit word to its unsigned decimal integer first. For 101₂, enter 5.
For a related exercise, try the greatest common divisor.
A few questions, answered
How can I check the default inputs by hand?
Word 101 with three fractional bits represents 0.101₂ = 5/8.
Which rule does this calculator apply?
Value = unsigned integer / 2ᶠ