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Exercise 1.5 · Q123

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

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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The expression p∨(∼p)∨(∼q)∨(p∧q)p \vee (\sim p) \vee (\sim q) \vee (p \wedge q) is a chain of disjunctions (∨\vee) joining four terms, so ALL four terms sit in parallel with each other, between the same two terminals.

  • Branch 1: single switch pp.
  • Branch 2: single switch ∼p\sim p.
  • Branch 3: single switch ∼q\sim q.
  • Branch 4: switches pp and qq in series (from the p∧qp \wedge q term). …

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