UGC NET CS 2015 Jun- paper-2
October 16, 2023
GATE 2020
October 16, 2023
UGC NET CS 2015 Jun- paper-2
October 16, 2023
GATE 2020
October 16, 2023

UGC NET CS 2015 Jun- paper-2

Question 6
Consider the following statements :
(a)Boolean expressions and logic networks correspond to labelled acyclic digraphs.
(b)Optimal boolean expressions may not correspond to simplest networks.
(c)Choosing essential blocks first in a Karnaugh map and then greedily choosing the largest remaining blocks to cover may not give an optimal expression.
Which of these statement(s) is/are correct ?
A
(a) only
B
(b) only
C
(a) and (b)
D
(a), (b) and (c)
Question 6 Explanation: 
→ An acyclic digraph is a directed graph containing no directed cycles, also known as a directed acyclic graph or a “DAG.”,We can represent the boolean expressions and logic networks by using DAG.
→ Karnaugh maps reduce logic functions more quickly and easily compared to Boolean algebra. By reduce we mean simplify, reducing the number of gates and inputs.
Correct Answer: D
Question 6 Explanation: 
→ An acyclic digraph is a directed graph containing no directed cycles, also known as a directed acyclic graph or a “DAG.”,We can represent the boolean expressions and logic networks by using DAG.
→ Karnaugh maps reduce logic functions more quickly and easily compared to Boolean algebra. By reduce we mean simplify, reducing the number of gates and inputs.
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