Verify the following proposition with the help of a truth table :(P � – InterviewSolution

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1.

Verify the following proposition with the help of a truth table :(P ∧ Q) ∨ (P ∧ ~ Q) = P

Answer»

P	Q	~Q	P ∧ Q	P ∧ ~ Q	(P ∧ Q) ∨ (P ∧ ~ Q)
0	0	1	0	0	0
0	1	0	0	0	0
1	0	1	0	1	1
1	1	0	1	0	1

From the table

(P ∧ Q) ∨ (P ∧ ~ Q) = P

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