Q.Obtain the simplest logical expression of the following and draw the corresponding switching circuit: $p \vee (q \wedge \sim q)$

Any switching circuit can be translated into a logical (symbolic) expression by writing the series/parallel combination of its switches using ∧ for series branches and ∨ for parallel branches; conversely, any logical expression can be redrawn as a circuit. To find an equivalent circuit that uses FEWER switches, the logical expression is simplified step by step using the laws of the algebra of statements (commutative, distributive, complement, identity, absorption, etc.), each step justified by naming the law used, until no further reduction is possible; the simplified expression is then redrawn as a circuit. Two special outcom …