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Exercise 1.5 · Q124

Q.Construct the switching circuit of the following: (p∧q)∨(∼p)∨(p∧∼q)(p \wedge q) \vee (\sim p) \vee (p \wedge \sim q)

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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The expression (p∧q)∨(∼p)∨(p∧∼q)(p \wedge q) \vee (\sim p) \vee (p \wedge \sim q) is a chain of three terms joined by ∨\vee, so it becomes three parallel branches.

  • Branch 1: switches pp and qq in series (from p∧qp \wedge q).
  • Branch 2: single switch ∼p\sim p.
  • Branch 3: switches pp and ∼q\sim q in series (from p∧∼qp \wedge \sim q). …

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