Simplest form of the following switching circuit is

Step-by-step solution

Let p represent the switch S₁ and q represent the switch S₂ . The given switching circuit consists of three parallel branches. The logical expression for the entire circuit is: E = (p q) (p q) ( p q) We can simplify this boolean expression by grouping the first two terms: E = [p (q q)] ( p q) Since q q is always true (a tautology, denoted as T ), we have: E = (p T) ( p q) E = p ( p q) Applying the distributive law: E = (p p) (p q) Again, since p p is a tautology ( T ): E = T (p q) E = p q This simplified logical ex