If p : switch S ₁ is closed, q : switch S ₂ is closed, r : switch S ₃ closed, then the symbolic form of the following switching circuit is equivalent to Switching Circuit :

Step-by-step solution

Circuit Analysis The logical form of the switching circuit is determined by representing series connections as logical AND ( ) and parallel connections as logical OR ( ). Let p represent switch S₁ being closed, q switch S₂ , and r switch S₃ . The circuit contains two parallel branches. The upper branch corresponds to S₁ in series with a parallel combination of S₂ and S₃ , or p (q r) . The lower branch is a series connection S₁ S₂ S₃ , or p q r . Since these branches are in parallel, the overall expression is: [p (q