The Boolean Expression X̄ȲZ + YZ + XZ is equivalent to
2009
The Boolean Expression X̄ȲZ + YZ + XZ is equivalent to
- A.
X
- B.
Y
- C.
Z
- D.
X+Y+Z
Attempted by 63 students.
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Correct answer: C
Simplify the expression: X̄ȲZ + YZ + XZ = Z(X̄Ȳ + Y + X). Now, X + X̄Ȳ = X + Ȳ, so the bracket becomes X + Ȳ + Y = X + 1 = 1. Therefore, the expression reduces to Z. Hence option C is correct.
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