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) !a && !b && !c

(B) !(a || b || c)

(D) !(a && b && c)

(A) !a && !b && !c

(B) !(a || b || c)

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

!a && !b && !c

This is one of the answer choices.

Factor the !.

!(a || b || c)

This is the other correct answer choice.