Binary Fraction Calculator
Result
Binary Fraction Calculator Convert a binary fraction such as 101.101 into its decimal value. Enter a binary number with an optional point, and this calculator adds the integer part to the fractional part, where each bit after the point is worth 1/2, 1/4, — free online calculator.
Formula
- Binary Fraction Calculator calculates its result from Integer Part Base 2, Sum, Fraction Bit, Position. It uses the formula decimal = integer part(base-2) + Σ (fraction bit × 2^−position). Change any input to recalculate the result instantly.
- The main inputs are Integer Part Base 2, Sum, Fraction Bit, Position. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Binary Fraction
- Integer Part Base 2: 2
- Sum: 3
- Fraction Bit: 12
- Position: 5
Using Integer Part Base 2 = 2, Sum = 3, Fraction Bit = 12, Position = 5, the calculated result is 3.125.
Sample result: Calculating…
Frequently asked questions
What does the Binary Fraction calculate?
Binary Fraction Calculator Convert a binary fraction such as 101.101 into its decimal value. Enter a binary number with an optional point, and this calculator adds the integer part to the fractional part, where each bit after the point is worth 1/2, 1/4, — free online calculator.
Which values should I enter?
Enter Integer Part Base 2, Sum, Fraction Bit, Position using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: decimal = integer part(base-2) + Σ (fraction bit × 2^−position).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.