Logical conjunction

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Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.

The truth table of \(p ~\operatorname{AND}~ q,\) also written \(p \land q~\!\) or \(p \cdot q,\!\) appears below:

\(\text{Logical Conjunction}\!\)
\(p\!\)	\(q\!\)	\(p \land q\)
\(\operatorname{F}\)	\(\operatorname{F}\)	\(\operatorname{F}\)
\(\operatorname{F}\)	\(\operatorname{T}\)	\(\operatorname{F}\)
\(\operatorname{T}\)	\(\operatorname{F}\)	\(\operatorname{F}\)
\(\operatorname{T}\)	\(\operatorname{T}\)	\(\operatorname{T}\)

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Logical conjunction

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