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Question 205 of 227

Q.Find the symbolic form of the given switching circuit. Construct its switching table and interpret your result.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2019Subjective· 4mImportance★★★★★
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Series connections give conjunctions, parallel branches give disjunctions; build the truth/switching table for all 4 combinations.

Let p,qp, q denote switches S1,S2S_1, S_2 (in parallel), and S1′,S2′S_1', S_2' denote the complementary switches ∼p,∼q\sim p, \sim q (in series with the parallel block and with each other, leading to the lamp LL).

Symbolic form: (p∨q)∧∼p∧∼q(p\lor q)\land{\sim}p\land{\sim}q

Switching table:

pqp∨q~p~q(p∨q)∧~p∧~q
TTTFFF
TFTFTF
FTTTFF
FFFTTF
…

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