Consider the expression X = A BC + B CA + C AB . Find the value of X if A = B = C = 0 .

Correct answer: C. 0 Given the Boolean expression X = A BC + B CA + C AB . Substituting the values A = 0 , B = 0 , and C = 0 , we get A = 1 , B = 1 , and C = 1 . Evaluating each term: A BC = 1 · 0 · 0 = 0 B CA = 1 · 0 · 0 = 0 C AB = 1 · 0 · 0 = 0 Summing these terms, we get X = 0 + 0 + 0 = 0 .

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

Consider the expression X = A BC + B CA + C AB . Find the value of...

Consider the expression

X = \overline{A}BC + \overline{B}CA + \overline{C}AB

. Find the value of

X

A = B = C = 0

Options

A $1$
B $-1$
C $0$
D $2$

Correct answer

C. $0$

Step-by-step solution

Given the Boolean expression

X = \overline{A}BC + \overline{B}CA + \overline{C}AB

.

Substituting the values

A = 0

B = 0

, and

C = 0

, we get

\overline{A} = 1

\overline{B} = 1

, and

\overline{C} = 1

.

Evaluating each term:

\overline{A}BC = 1 \cdot 0 \cdot 0 = 0

\overline{B}CA = 1 \cdot 0 \cdot 0 = 0

\overline{C}AB = 1 \cdot 0 \cdot 0 = 0

Summing these terms, we get

X = 0 + 0 + 0 = 0

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