Question

What will be the Boolean expression for the given statement: "The man does not like the neighbor's dog, and he also finds his neighbors noisy."

A) (man AND NOT dog) OR (man AND noisy)
B) (man OR NOT dog) AND (man OR noisy)
C) NOT (man AND dog) AND NOT (man AND noisy)
D) (man AND NOT dog) AND (man OR noisy)

Answer 1

The correct Boolean expression is option D: (man AND NOT dog) AND (man AND noisy), representing that the man does not like the neighbor's dog and finds his neighbors noisy. The correct option is D.

Step-by-step explanation:

The Boolean expression for the statement "The man does not like the neighbor's dog, and he also finds his neighbors noisy" should represent both conditions that are described. Using Boolean operators, the expression should include an AND operator, as both conditions need to be true simultaneously.

NOT should be used to express the negation of liking the dog, and there's no need for a negation with noisy since it is directly stated that he finds them noisy.

Therefore, the correct Boolean expression that represents the given statement is:

(man AND NOT dog) AND (man AND noisy)

Which corresponds to option D. In this expression, man represents the subject (the man), NOT dog the negation of liking the neighbor's dog, and noisy indicates the state of finding his neighbors noisy. The correct option is D.