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Concepts Of Physics MCQ Edition [Volume 2]PhysicsSemiconductors and Semiconductor Devices

A logical circuit is designed using AND, OR, and NOT gates to evaluate the Boolean expression A BC + B CA . Which of the following is logically equivalent to the output of this circuit?

Options

  1. AC(A B)
  2. BC(A B)
  3. CB(A C)
  4. DA(B C)

Correct answer

B. C(A B)

Step-by-step solution

The given Boolean expression is Y = A BC + B CA . Taking C common from both terms, we get: Y = C( A B + A B ) The expression inside the parenthesis represents the XOR operation between A and B , which is written as A B . Therefore, the expression simplifies to: Y = C(A B)

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