Build a complete truth table and Show that they are Logically equivalent ¬(¬P ∧ Q) ∧ (P ∨Q)≡ p

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Solution:

LHS $=¬(¬P ∧ Q) ∧ (P ∨Q)$

Truth table:

RHS $=P$

Truth table:

Thus, $¬(¬P ∧ Q) ∧ (P ∨Q)≡ P$ are logically equivalent.

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Question ID: mtid-5-stid-8-sqid-1380-qpid-1118