Simplified form of Boolean Expression XY+(~X)Z+YZ
2007
Simplified form of Boolean Expression XY+(~X)Z+YZ
- A.
XY+(~X)Z
- B.
(~X)Y +(~X)Z
- C.
(~X)Y+XZ
- D.
XY+XZ
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Correct answer: A
The simplified form of the Boolean expression XY + (~X)Z + YZ is XY + (~X)Z. This result is derived using the Consensus Theorem, which states that AB + A'C + BC reduces to AB + A'C. Here, YZ is the consensus term and is redundant.
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