PRASHNIKAप्रश्निका
‹ Back to the paper

If then write its: Inverse Converse

Computer Science20171 markOne word
If $(\sim P \implies Q)$ then write its:
(i)
Inverse
(ii)
Converse

Answer

Answer (i)

AI
Given $\sim P \Rightarrow Q$. Inverse: negate both the antecedent and the consequent. Inverse: $\sim(\sim P) \Rightarrow \sim Q$, i.e. $P \Rightarrow \sim Q$.

Answer (ii)

AI
Converse: interchange the antecedent and the consequent of $\sim P \Rightarrow Q$. Converse: $Q \Rightarrow \sim P$.
Boolean Algebra

From ISC 2017 Computer Science Paper 1, question 1(e).