Nielit Scentist-B [02-12-2018]

Question 3

___ number of gates are required to implement the boolean function (AB+C) with using only 2 input NOR gates.

A	2
B	3
C	4
D	5

Digital-Logic-DesignBoolean-FunctionVideo-Explanation

Question 3 Explanation:

NOR is Complement of OR
AB+C
= (A+C)(B+C) ← Distribution of + over
= ((A+C)’+(B+C)’)’
1st NOR- (A+C)’. Let X = (A+C)’
2nd NOR- (B+C)’. Let Y = (B+C)’
3rd NOR- (X+Y)’

Correct Answer: B

Question 3 Explanation:

NOR is Complement of OR
AB+C
= (A+C)(B+C) ← Distribution of + over
= ((A+C)’+(B+C)’)’
1st NOR- (A+C)’. Let X = (A+C)’
2nd NOR- (B+C)’. Let Y = (B+C)’
3rd NOR- (X+Y)’