Question

The symbolic form of the following circuit is (where p, q represents switches S₁ and S₂ closed respectively)

Options

• (p ∧ q) ∧ (∼ P ∧ ∼ q) ≡ l

• p ∧ [q ∧ (∼ p ∧ ∼ q) ≡ l

• (p ∨ q) ∨ (∼ p ∧ ∼ q) ≡ l

• p ∨ [q ∧ (∼ p ∧ ∼ q) ≡ l

Answer 1

(p ∨ q) ∨ (∼ p ∧ ∼ q) ≡ l

Explanation:

Here, p, q represent switches S₁ and S₂ closed respectively.

Here, S₁, S₂, `("S"_1^"'" "and"  "S"_2^"'")` are in parallel

and `"S"_1^"'"` and `"S"_2^"'"` are in series

∴ l ≡ (p ∨ q) ∨ (∼ p ∧ ∼ q)