What is output of Y in the given circuit? I. BC + AC'
What is output of Y in the given circuit?
I. BC + AC'
II. (A + C)(B + C')
Circuit: inputs A, B, C. An AND gate takes B and C; its output is ORed with A (first OR). A second AND gate takes A and NOT C; its output is ORed with B (second OR). The outputs of the two OR gates feed a final AND gate whose output is Y.
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Correct answer: (C) Both I and II
Explanation
Y = (A + BC)(B + AC') = AB + AC' + BC. AB is the consensus term of BC and AC', so Y = BC + AC'. Also (A + C)(B + C') = AB + AC' + BC, the same function, so both are correct.