Question

Draw the switching circuits and prepare the input output tables for statement patterns :
a) (p^q)v(~p^~q)
b) (pvq)^~q​

Answer 1

As shown in the figure the circuit diagrams for both the questions can be drawn.

Given:

Let

p = switch S₁ is closed = S₁

~p = Switch S₁ is open = S₁¹

q = Switch S₂ is closed = S₂

~q = Switch S₂ is open = S₂¹

To Find:

a) ( p ^ q ) v ( ~p ^ ~q )

b) ( p v q ) ^ ~q​

Solution:

We can simply draw the circuit for the given questions by using the following process.

Given that

p = switch S₁ is closed

~p = Switch S₁ is open

q = Switch S₂ is closed

~q = Switch S₂ is open

∨ = OR operator = Parallel connection

∧ = AND operator = Series connection

Kindly observe the step-by-step process written in the attached image.

As shown in the figure the circuit diagrams for both the questions can be drawn.

#SPJ3