Boolean expression practice

The exercise below use Java. For AP CSP Pseudocode, see Boolean expression practice in AP CSP Pseudocode.

Exercise 1

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

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

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

(A) (a && b) || (!a && !b)

(B) (a || b) && (!a || !b)

(D) (a || !b) || (b || !a)

Exercise 1 solution

Exercise 2

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

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

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

Select TWO answers.

(A) a && b

(B) a && !b

(D) !(a && b)

Exercise 2 solution

Exercise 3

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

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

(B) !(a || b)

(D) !a || b

Exercise 3 solution

Exercise 4

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`	`true`
`true`	`false`	`true`	`true`
`true`	`false`	`false`	`true`
`false`	`true`	`true`	`true`
`false`	`true`	`false`	`true`
`false`	`false`	`true`	`true`
`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

Exercise 4 solution

Exercise 5

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)

Exercise 5 solution

Additional resources

Working with boolean variables

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