GATE CS 2015 Set 1 — Question 19
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Engineering Mathematics → Mathematical Logic → Logical Equivalence
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Question
Which one of the following is NOT equivalent to ?
Correct answer
(C) (¬ p ∧ q) ∨ (p ∧ ¬ q)
Solution
The biconditional is true if and only if and have the same truth value.
1.Option (A): . This is equivalent.
2.Option (B): . This is equivalent.
3.Option (C): is the definition of the Exclusive OR (XOR) operation, . Since , this is NOT equivalent.
4.Option (D): is true when both and are false or both are true. This is the definition of . This is equivalent.
Therefore, option (C) is the correct answer.Continue learning with Success Tracker
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