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प्रश्न
Construct the simplified circuit for the following circuit:
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उत्तर
Let p : switch S1 is closed
q : switch S2 is closed
r : switch S3 is closed
~ p : switch S1 is open
~ q : switch S2 is open
~ r : switch S3 is open
The symbolic form of the given circuit
[p ∧ (q ∨ r)] ∨ [~ r ∧ ~ q ∧ p]
= p ∧ [(q ∨ r) ∨ (~ q ∧ ~ r) ….(Distributive law)
= p ∧ [(q ∨ r) ∨ ~ (q r)] ….(De Morgan’s law)
= p ∧ T ….(Compliment law)
= p ….(Identity law)
The new simplified circuit is
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