Maharashtra State BoardHSC Arts 12th Board Exam
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Express the following circuit in the symbolic form. Prepare the switching table: - Mathematics and Statistics

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Sum

Express the following circuit in the symbolic form. Prepare the switching table:

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Solution

Let p: the switch S1 is closed
      q: the switch S2 is closed
       r: the switch S3 is closed
Then the symbolic form of the given statement is:
(p∨q) ∧ (p∨q)

Switching Table

q r p∨q p∨r (p∨q) ∧ (p∨q)
1 1 1 1 1 1
1 1 0 1 1 1
1 0 1 1 1 1
1 0 0 1 1 1
0 1 1 1 1 1
0 1 0 1 0 0
0 0 1 0 1 0
0 0 0 0 0 0
Concept: Application of Logic to Switching Circuits
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 12.2 | Page 34
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