Truth table for (pq)r\left(p \wedge q\right) \rightarrow r

The calculator will generate the truth table for the given logic formula (pq)r\left(p \wedge q\right) \rightarrow r, with steps shown.

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Your Input

Find the truth table for (pq)r\left(p \wedge q\right) \rightarrow r.

Answer

ppqqrrpqp \wedge q(pq)r\left(p \wedge q\right) \rightarrow r
TrueTrueTrueTrueTrue
TrueTrueFalseTrueFalse
TrueFalseTrueFalseTrue
TrueFalseFalseFalseTrue
FalseTrueTrueFalseTrue
FalseTrueFalseFalseTrue
FalseFalseTrueFalseTrue
FalseFalseFalseFalseTrue