The Boolean expression \(\bar{x}\bar{y}z + yz + xz\) is equivalent to :
2009
The Boolean expression \(\bar{x}\bar{y}z + yz + xz\) is equivalent to :
- A.
\(x\)
- B.
\(y\)
- C.
\(z\)
- D.
\(x+y+z\)
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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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