Description
Toggle the sign-position bit of a bounded word.
A fixed-width bit pattern and the number it represents are different concepts. Unsigned, two's-complement, one's-complement, sign-magnitude and biased encodings use different sign and zero conventions, so a bit-preserving transformation need not preserve numerical meaning.
Toggle the sign-position bit of a bounded word.
When to use this tool
Use Bitwise: Bit Word Sign Bit Toggle when checking the stated fixed-width representation or encoding convention.
How to use the tool and how it works
- Enter word, width. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Toggle the sign-position bit of a bounded word. Return word XOR 2^(width-1) as decimal text.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| word | Word | Required. Text. Integer syntax: optional + or - and 1-128 decimal digits; leading zeros accepted. Apply the sign restriction above. Implementation limit: 8192 Unicode code points and 16384 UTF-16 code units. Word value must satisfy 0 <= value < 2^width. |
| width | Width under the stated bit, interval or geometry convention; apply the field-specific units and bounds. | Required. Safe integer. Fixed-word implementation domain: whole width 1-128 bits. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Returned calculated value or nested object under the stated output convention. | Required. Object. |
| result.toggled | Toggled | Calculated result member: string. |
{
"input": {
"word": "1",
"width": 8
},
"output": {
"result": {
"toggled": "129"
}
}
}Limitations and assumptions
- This changes a bit pattern rather than performing arithmetic negation; its numeric effect depends on signedness/encoding convention.
- Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Choose an explicit representation and width, validate the complete encoded value and use the matching signed or unsigned conversion for the intended numerical interpretation.
References
Similar or alternative tools
- Bitwise: Sign Magnitude Word To Integer
Decode a sign-magnitude word with negative-zero policy.
- Signed Word Sign Extension Gap
Sign-extend a word from source width to target width.