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AND

Learn in the textbookSets and Logical Operations

DefinitionAND (logical product, 論理積) is an operation whose output is 1 only when all inputs are 1.

ExplanationA single 0 among the inputs makes the output 0, and in set terms it corresponds to the intersection, which gathers the elements in both sets. It is used to narrow results by joining conditions with "and," and to pick out only certain bits of data.

AnalogyA safe door that opens only when both keys are turned.

Memory hookIt is sometimes written ∧ or "·" (the multiplication dot), and its results match multiplying 0s and 1s.

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