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Binary Fraction Converter — result sheet
Convert a nonnegative binary number with an optional fractional part into its exact decimal value.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Each digit left of the point has weight 2^n; each digit right of the point has weight 2^−n.
The point separates integer powers of two from negative powers of two, so the decimal result remains transparent and reproducible.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Binary value — Use digits 0 and 1 with at most one binary point.
Worked example
| Input | Value |
|---|---|
| Binary value | 101.101 |
101.101₂ = 5.625₁₀.
Assumptions and limits
- The input is a nonnegative binary numeral with at most 2,048 total digits.
- Only a dot is accepted as the binary-point separator.
- Repeating or rounded fractional representations are not inferred.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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