The Boolean expression

Question:

The Boolean expression $\sim(\mathrm{p} \Rightarrow(\sim \mathrm{q}))$ is equivalent to :

  1. $(\sim p) \Rightarrow q$

  2. $\mathrm{p} \vee \mathrm{q}$

  3. $\mathrm{q} \Rightarrow \sim \mathrm{p}$

  4. $p^{\wedge} \mathrm{q}$


Correct Option: , 4

Solution:

$\sim(\mathrm{p} \rightarrow(\sim \mathrm{q}))=\sim(\sim \mathrm{p} \vee \sim \mathrm{q})$

$=\mathrm{p} \wedge \mathrm{q}$

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