# Logical conjunction

This page belongs to resource collections on Logic and Inquiry.

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

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## 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.