The Boolean expression x'y+yz+xz can be reduced toa.x'y+xzb.x'y+yz+xzc.x'y+yzd.yz+xz
Question
The Boolean expression x'y + yz + xz can be reduced to:
a. x'y + xz
b. x'y + yz + xz
c. x'y + yz + xz
d. yz + xz
Solution
The Boolean expression x'y + yz + xz can be simplified using Boolean algebra rules. Here are the steps:
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Apply the Consensus theorem which states that (A AND B) OR (NOT A AND C) OR (B AND C) = (A AND B) OR (NOT A AND C). In this case, A corresponds to y, B to x', and C to z.
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So, the expression x'y + yz + xz simplifies to x'y + yz.
Therefore, the correct answer is b. x'y + yz.
Similar Questions
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