Question

The negation of the boolean expression
$\sim s\vee (\sim r\wedge s)$ is equivalent to:

• A. $r$
• B. $s\wedge r$
• C. $s\vee r$
• D. $\sim s\wedge \sim r$

Answer 1

The correct option is B $s\wedge r$

$\sim (\sim s\vee (\sim r\wedge s\left)\right)$

$s\wedge (r\vee \sim s)$
$(s\wedge r)\vee (s\wedge \sim s)$

$(s\wedge r)\vee \left(F\right)$

$(s\wedge r)$