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The Equivalence expression is .
Assertion: The Equivalence expression is $p \leftrightarrow q$.
Reason: An Equivalence Statement always gives the final result as Contingencies.
- aBoth A and R are true, and R is the correct explanation of A.
- bBoth A and R are true, but R is not the correct explanation of A.
- cA is true, but R is false.
- dA is false, but R is true.
Answer
Answer
AICorrect option: c
Answer: (c) A is true, but R is false.
The biconditional/equivalence of p and q is written p <-> q, so A is true. R is false as a general claim: an equivalence statement is not always a contingency - for example p <-> p is a tautology (always true) and p <-> ~p is a contradiction (always false), so equivalence statements can also be tautologies or contradictions.
From ISC Computer Science - Competency Focused Practice Questions (CISCE, August 2024), question 24.
Check your working with the Boolean algebra solver: the steps law by law, the K-map and the logic circuit for any expression.