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
Question 8 |
Simplified Boolean equation for the following truth table is:
F = yz’ + y’z | |
F = xy’ + x’y | |
F = x’z + xz’ | |
F = x’z + xz’ + xyz |
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)