Question:

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

circuits has the same output as that of the given circuit

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When dealing with logic gates, always express the output using Boolean algebra to simplify and find the correct circuit configuration.
Updated On: Apr 30, 2025
  • circuits has the same output as that of the given circuit
  • circuits has the same output as that of the given circuit
  • circuits has the same output as that of the given circuit
  • circuits has the same output as that of the given circuit
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The Correct Option is B

Solution and Explanation

circuits has the same output as that of the given circuit

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

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