Template:LogicalTruthPlugin: Difference between revisions
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The results of the bitwise logical operations, where '''A''' and '''B''' are operands, | The results of the bitwise logical operations, where '''A''' and '''B''' are operands, | ||
and '''true''' or '''false''' indicate whether a bit is set or not set: | |||
┌───────────────┬────────────────────────────────────────────────────────┐ | ┌───────────────┬────────────────────────────────────────────────────────┐ | ||
│ '''Operands''' │ '''Logical operations''' │ | │ '''Operands''' │ '''Logical operations''' │ | ||
Revision as of 12:35, 3 August 2022
The results of the bitwise logical operations, where A and B are operands,
and true or false indicate whether a bit is set or not set:
┌───────────────┬────────────────────────────────────────────────────────┐
│ Operands │ Logical operations │
├───────┬───────┼───────┬─────────┬────────┬─────────┬─────────┬─────────┤
│ A │ B │ NOT B │ A AND B │ A OR B │ A XOR B │ A EQV B │ A IMP B │
├───────┼───────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ true │ true │ false │ true │ true │ false │ true │ true │
├───────┼───────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ true │ false │ true │ false │ true │ true │ false │ false │
├───────┼───────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ false │ true │ false │ false │ true │ true │ false │ true │
├───────┼───────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ false │ false │ true │ false │ false │ false │ true │ true │
└───────┴───────┴───────┴─────────┴────────┴─────────┴─────────┴─────────┘
Relational Operations return negative one (-1, all bits set) and zero
(0, no bits set) for true and false, respectively. This allows relational
tests to be inverted and combined using the bitwise logical operations.
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