5. Find the truth tables for (a) (P V (¬Q)) v (Q ^ (¬P)), and (b) (P = (¬Q)) ^ (Q → (¬P)).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Find the truth tables for (a) (P V (¬Q)) v (Q ^ (¬P)), and (b) (P= (¬Q)) ^ (Q → (¬P)).
Transcribed Image Text:5. Find the truth tables for (a) (P V (¬Q)) v (Q ^ (¬P)), and (b) (P= (¬Q)) ^ (Q → (¬P)).
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Step 1

(a)   We need to find truth table for  (P  (¬Q))  (Q  (¬P)).

We know that a conjunction () is true when both its combined parts are true; otherwise, it will be false.

Also, in disjunction (), when both the values are false, the result is also false; otherwise, it will be true.

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