Digital-Logic-Design
October 6, 2023Digital-Logic-Design
October 6, 2023Digital-Logic-Design
| Question 9 |
Consider the Boolean function z(a,b,c).
Which one of the following minterm lists represents the circuit given above?
| Z = ∑(0,1,3,7) | |
| Z = ∑(2,4,5,6,7) | |
| Z = ∑(1,4,5,6,7) | |
| Z = ∑(2,3,5) |
Question 9 Explanation:
The output of the given circuit is a + b’c.
Convert a+b’c into canonical form which is sum of minterms.
a + b’c = a(b + b’)(c + c’) + (a + a’)b’c
= abc + abc’ + ab’c + ab’c’ + ab’c + a’b’c
= Σ(7,6,5,4,1)
Convert a+b’c into canonical form which is sum of minterms.
a + b’c = a(b + b’)(c + c’) + (a + a’)b’c
= abc + abc’ + ab’c + ab’c’ + ab’c + a’b’c
= Σ(7,6,5,4,1)
Correct Answer: C
Question 9 Explanation:
The output of the given circuit is a + b’c.
Convert a+b’c into canonical form which is sum of minterms.
a + b’c = a(b + b’)(c + c’) + (a + a’)b’c
= abc + abc’ + ab’c + ab’c’ + ab’c + a’b’c
= Σ(7,6,5,4,1)
Convert a+b’c into canonical form which is sum of minterms.
a + b’c = a(b + b’)(c + c’) + (a + a’)b’c
= abc + abc’ + ab’c + ab’c’ + ab’c + a’b’c
= Σ(7,6,5,4,1)
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