Operating-Systems
October 10, 2023Operating-Systems
October 10, 2023GATE 2005
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Question 15
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Consider the following circuit.
Which one of the following is TRUE?
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f is independent of X
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f is independent of Y
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f is independent of Z
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None of X, Y, Z is redundant
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Question 15 Explanation:
f(X,Y,Z) = ((XY’)’ (YZ))’
= ((X’+Y) YZ)’
= (X’YZ + YZ)’
= ((X’+1) YZ)’
= (YZ)’
= ((X’+Y) YZ)’
= (X’YZ + YZ)’
= ((X’+1) YZ)’
= (YZ)’
Correct Answer: A
Question 15 Explanation:
f(X,Y,Z) = ((XY’)’ (YZ))’
= ((X’+Y) YZ)’
= (X’YZ + YZ)’
= ((X’+1) YZ)’
= (YZ)’
= ((X’+Y) YZ)’
= (X’YZ + YZ)’
= ((X’+1) YZ)’
= (YZ)’