The negation of the Boolean expression \(\sim s \vee (\sim r \wedge s)\) is equivalent to :
Show Hint
- \(\sim s \wedge \sim r\)
- \(r\)
- \(s \vee r\)
- \(s \wedge r\)
The Correct Option is D
Solution and Explanation
\(\sim s\vee s\) is a tautology (T), so the expression reduces to \(\sim s\vee\sim r\).
Negation: \(\sim(\sim s\vee\sim r)=s\wedge r\) (De Morgan).
Answer: (4) \(s \wedge r\)
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