The symbolic form of the following circuit is (where $\mathrm{p}, \mathrm{q}$ and $\mathrm{r}$ represents…

The symbolic form of the following circuit is (where $\mathrm{p}, \mathrm{q}$ and $\mathrm{r}$ represents switches $\mathrm{s}_{1}, \mathrm{~s}_{2}$ and $\mathrm{s}_{3}$ which are closed respectively)
  1. $(p \vee q) \wedge[\sim p \vee(\sim q \wedge p \wedge r)] \equiv \ell$
  2. $[(p \vee q) \wedge \sim p] \vee[\sim p \vee q \vee r)] \equiv \ell$
  3. $(p \wedge q) \vee[\sim p \wedge(\sim q \vee p \vee r)] \equiv \ell$
  4. $(p \wedge q) \vee \sim p \vee[\sim p \vee p \vee r] \equiv \ell$

Solution

The symbolic form of given circuit is $(\mathrm{p} \wedge \mathrm{q}) \vee[\sim \mathrm{p} \wedge(\sim \mathrm{q} \vee \mathrm{p} \vee \mathrm{r})]=\ell$

Asked in: MHT CET 2020 (13 Oct Shift 2)

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