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Bitwise XOR Calculator — result sheet
Apply exclusive OR to two equal-length binary strings and report the result, decimal values, and differing-bit count.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For each position, XOR outputs 1 when exactly one input bit is 1 and 0 when the two bits agree. The differing-bit count is the number of 1s in left XOR right.
Exclusive OR compares corresponding bits rather than adding the whole binary numbers. Equal positions cancel to zero, while positions that differ become one. The result is returned as a same-width bit string, alongside decimal interpretations and a Hamming-distance-style count of changed positions, making the operation useful for both logic lessons and bit-pattern comparisons.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Left binary word — Use only 0 and 1; leading zeroes are significant.
- Right binary word — Use the same number of bits as the left word.
Worked example
| Input | Value |
|---|---|
| Left binary word | 01101 |
| Right binary word | 11010 |
01101 XOR 11010 = 10111; the unsigned result is 23 and five positions are compared, with four differences.
Assumptions and limits
- Both inputs are binary strings of equal length from 1 through 64 bits.
- Leading zeroes are preserved and contribute to the width even though they do not change the unsigned decimal value.
- The calculation is unsigned bit-string XOR, not a signed integer operation.
- The differing-bit count is a comparison diagnostic and not an error probability.
- No hexadecimal prefixes, separators, whitespace inside the words, or wildcard bits are accepted.
- The result is deterministic and does not claim cryptographic security.
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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