Question

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

(i)

(ii)

Answer 1

(i) Let p : the switch S₁ is closed 

q : the switch S₂ is closed 

~ p : the switch S₁' is closed or the switch S₁ is open 

~ q : the switch S₂' is closed or the switch S₂ is open.

Then,

The symbolic form of the given circuit is : 

(p ∧ q) ∨ (~p) ∨ (p ∧ ~q).

(ii) 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 ∨ r).