Template:LogicalTruthPlugin: Difference between revisions
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│ '''0''' │ '''0''' │ 1 │ 0 │ 0 │ 0 │ 1 │ 1 │ | │ '''0''' │ '''0''' │ 1 │ 0 │ 0 │ 0 │ 1 │ 1 │ | ||
└─────┴─────┴───────┴─────────┴────────┴─────────┴─────────┴─────────┘ | └─────┴─────┴───────┴─────────┴────────┴─────────┴─────────┴─────────┘ | ||
[[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 22:19, 1 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 │
├─────┼─────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ 1 │ 1 │ 0 │ 1 │ 1 │ 0 │ 1 │ 1 │
├─────┼─────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ 1 │ 0 │ 1 │ 0 │ 1 │ 1 │ 0 │ 0 │
├─────┼─────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ 0 │ 1 │ 0 │ 0 │ 1 │ 1 │ 0 │ 1 │
├─────┼─────┼───────┼─────────┼────────┼─────────┼─────────┼─────────┤
│ 0 │ 0 │ 1 │ 0 │ 0 │ 0 │ 1 │ 1 │
└─────┴─────┴───────┴─────────┴────────┴─────────┴─────────┴─────────┘
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.
|