Question

Which of the following circuits has the same output as that of the given circuit?
 

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

When dealing with logic gates, always express the output using Boolean algebra to simplify and find the correct circuit configuration.

Answer 1

The Correct Option is B

The given Boolean logic circuit is shown below, and the corresponding solution is derived step by step.

P = A · B

Q = A · B

Y = P + Q = A · B + A · B

Y = A · (B + B)

Since B + B = B (idempotent law), we have:

Y = A · B

Y = A

The final output of the Boolean expression is:

Y = A