The Boolean expression

eSaral Updated on:
Question:

The Boolean expression $(p \wedge \sim q) \Rightarrow(q \vee \sim p)$ is equivalent to:

  1. $\mathrm{q} \Rightarrow \mathrm{p}$

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

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

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

Correct Option: , 2

Solution:

$\therefore(\mathrm{p} \wedge \sim \mathrm{q}) \Rightarrow(\mathrm{q} \vee \sim \mathrm{p})$

$\equiv p \Rightarrow q$

So, option (2) is correct.

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