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Binary Subtraction Calculator — result sheet
Subtract signed binary numbers, inspect the decimal check, see aligned operands, and encode the result in a chosen two’s-complement width when it fits.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Interpret each binary string as an integer and compute A − B; when the difference lies in the selected signed range, encode it as (2^w + result) mod 2^w for a w-bit two’s-complement display.
Binary subtraction is ordinary integer subtraction expressed in base two. The page keeps the original binary notation visible, pads the magnitudes for a column-style view, reports the exact signed result, and separates that result from an optional fixed-width representation so overflow is not hidden.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Binary minuend — Use 0 and 1, with an optional leading minus sign.
- Binary subtrahend — Use 0 and 1, with an optional leading minus sign.
- Fixed-width display — 4 choices
Worked example
| Input | Value |
|---|---|
| Binary minuend | 1101 |
| Binary subtrahend | 110 |
| Fixed-width display | 8 |
1101₂ − 110₂ = 111₂ = 7₁₀; the 8-bit two’s-complement encoding is 00000111.
Assumptions and limits
- Inputs are signed binary integers with an optional leading minus sign; leading zeroes are allowed.
- The fixed-width result uses signed two’s-complement range from −2^(w−1) through 2^(w−1)−1.
- A result outside that range is reported as overflow rather than silently wrapping.
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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