Which of the following

Question:

Which of the following is equivalent to the Boolean expression $p \wedge \sim q$ ?

  1. $\sim(\mathrm{q} \rightarrow \mathrm{p})$

  2. $\sim \mathrm{p} \rightarrow \sim \mathrm{q}$

  3. $\sim(\mathrm{p} \rightarrow \sim \mathrm{q})$

  4. $\sim(\mathrm{p} \rightarrow \mathrm{q})$


Correct Option: , 4

Solution:

$\mathrm{p} \wedge \sim \mathrm{q} \equiv \sim(\mathrm{p} \rightarrow \mathrm{q})$

Option (4)

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