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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)).
Expert Solution
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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