Boolean expression practice exercise 5 solution

Exercise

The following table shows the value of an expression based on the values of a, b, and c.

Value of `a`	Value of `b`	Value of `c`	Value of expression
`true`	`true`	`true`	`false`
`true`	`true`	`false`	`false`
`true`	`false`	`true`	`false`
`true`	`false`	`false`	`false`
`false`	`true`	`true`	`false`
`false`	`true`	`false`	`false`
`false`	`false`	`true`	`false`
`false`	`false`	`false`	`true`

Which of the following expressions are equivalent to the value of the expression shown in the table?

Select TWO answers.

(A) (NOT a) AND (NOT b) AND (NOT c)

(B) NOT (a OR b OR c)

(D) NOT (a AND b AND c)

(A) (NOT a) AND (NOT b) AND (NOT c)

(B) NOT (a OR b OR c)

The expression is true if and only if a, b, and c are all false.

(NOT a) AND (NOT b) AND (NOT c)

This is one of the answer choices.

Factor the NOT.

NOT (a OR b OR c)

This is the other correct answer choice.