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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Semiconductors and Semiconductor Devices

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

A logical circuit is designed using AND, OR, and NOT gates to...

A logical circuit is designed using AND, OR, and NOT gates to evaluate the Boolean expression

\overline{A}BC + \overline{B}CA

. Which of the following is logically equivalent to the output of this circuit?

Options

A $C(A \odot B)$
B $C(A \oplus B)$
C $B(A \oplus C)$
D $A(B \oplus C)$

Correct answer

B. $C(A \oplus B)$

Step-by-step solution

The given Boolean expression is

Y = \overline{A}BC + \overline{B}CA

.

Taking

C

common from both terms, we get:

Y = C(\overline{A}B + A\overline{B})

The expression inside the parenthesis represents the XOR operation between

A

and

B

, which is written as

A \oplus B

.

Therefore, the expression simplifies to:

Y = C(A \oplus B)

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