The new switching circuit for the following circuit by simplifying the given circuit is

Question

Aicharya · Accepted Answer

The symbolic form of circuit is $\begin{aligned} & (\mathrm{p} \wedge(\mathrm{q} \vee \mathrm{r})) \vee(\sim \mathrm{r} \wedge \sim \mathrm{q} \wedge \mathrm{p}) \\ & \equiv(p \wedge(q \vee r)) \vee(\sim(r \vee q) \wedge p] \\ & \equiv p \wedge[(q \vee r) \vee \sim(q \vee r)] \\ & \equiv \mathrm{p} \wedge \mathrm{~T} \\ & \equiv p \end{aligned}$ $\begin{aligned} & \ldots \text { [De Morgan's law] } \\ & \ldots \text { [Distributive law] } \\ & \ldots \text { [Complement law] } \\ & \text {..[Identity law] } \end{aligned}$ $\therefore \quad$ Simplified circuit is

The new switching circuit for the following circuit by simplifying the given circuit is

Solution