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# 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:

 $p\!$ $q\!$ $p \land q$ $\operatorname{F}$ $\operatorname{F}$ $\operatorname{F}$ $\operatorname{F}$ $\operatorname{T}$ $\operatorname{F}$ $\operatorname{T}$ $\operatorname{F}$ $\operatorname{F}$ $\operatorname{T}$ $\operatorname{T}$ $\operatorname{T}$

## Syllabus

### Logical operators

 Exclusive disjunction Logical conjunction Logical disjunction Logical equality

## Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.