Question

Obtain the simple logical expression of the following. Draw the corresponding switching circuit.

p ∨ (q ∧ ∼ q)

Answer 1

Using the laws of logic, we have,
p ∨ (q ∧ ∼ q)
≡ p ∨ F .......(By Complement Law)
≡ p ...........(By Identity Law)
Hence, the simple logical expression of the given expression is p.
Let p: the switch S₁ is closed
Then the corresponding switching circuit is: