UGC NET CS 2016 July- paper-2
March 14, 2024UGC NET CS 2016 July- paper-2
March 14, 2024UGC NET CS 2016 July- paper-2
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Question 8
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Simplified Boolean equation for the following truth table is:
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F = yz’ + y’z
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F = xy’ + x’y
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F = x’z + xz’
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F = x’z + xz’ + xyz
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Question 8 Explanation:
Method-1: Using K-Map
Method-2: Using boolean simplification
= x’y’z+x’yz+xy’z’+xyz’
= x’z(y’+y)+ xz'(y’+y)
= x’z+xz’ (Since y’+y=1)
Method-2: Using boolean simplification
= x’y’z+x’yz+xy’z’+xyz’
= x’z(y’+y)+ xz'(y’+y)
= x’z+xz’ (Since y’+y=1)
Correct Answer: C
Question 8 Explanation:
Method-1: Using K-Map
Method-2: Using boolean simplification
= x’y’z+x’yz+xy’z’+xyz’
= x’z(y’+y)+ xz'(y’+y)
= x’z+xz’ (Since y’+y=1)
Method-2: Using boolean simplification
= x’y’z+x’yz+xy’z’+xyz’
= x’z(y’+y)+ xz'(y’+y)
= x’z+xz’ (Since y’+y=1)