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 '''1''' or '''0''' indicate whether a bit is set or not set: | and '''1''' or '''0''' 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''' | [[Relational Operations]] return '''negative one''' (-1, all bits set) and '''zero''' | ||
(0, no bits set) for '''true''' and '''false''', respectively. This allows relational | (0, no bits set) for '''true''' and '''false''', respectively. This allows relational | ||
tests to be inverted and combined using the bitwise logical operations. | tests to be inverted and combined using the bitwise logical operations. | ||
{{FixedEnd}} | {{FixedEnd}} |
Revision as of 12:33, 3 August 2022
The results of the bitwise logical operations, where A and B are operands, and 1 or 0 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. |