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Question 226 of 227

Q.Construct the switching circuit of the statement pattern (∼p∧q)∨(p∧∼r)(\sim p\wedge q)\vee(p\wedge \sim r).

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2026Subjective· 2mImportance★★★★★
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Figure — Draw a switching circuit with two parallel branches between two terminals
Figure — Draw a switching circuit with two parallel branches between two terminals

∧\wedge (AND) means switches in series; ∨\vee (OR) means branches in parallel.

The statement pattern is (∼p∧q)∨(p∧∼r)(\sim p\wedge q)\vee(p\wedge \sim r) — an OR of two AND-terms, so it is drawn as two parallel branches, each branch itself a series connection:

  • Branch 1 (for ∼p∧q\sim p\wedge q): switch ∼p\sim p in series with switch qq.
  • Branch 2 (for p∧∼rp\wedge \sim r): switch pp in series with switch ∼r\sim r.
        ┌── ~p ── q ──┐
  o─────┤             ├─────o
        └── p  ── ~r ─┘

…

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