Boolean expression practice in AP CSP Pseudocode

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

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 AND b) OR ((NOT a) AND (NOT b))

(B) (a OR b) AND ((NOT a) OR (NOT b))

(D) (a OR (NOT b)) OR (b OR (NOT 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 AND b

(B) a AND (NOT b)

(D) NOT (a AND 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) NOT (a AND b)

(B) NOT (a OR b)

(D) (NOT a) OR 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) (NOT a) OR (NOT b) OR (NOT c)

(B) NOT (a OR b OR c)

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

(B) NOT (a OR b OR c)

(D) NOT (a AND b AND c)

Exercise 5 solution

Additional resources

Working with boolean variables in AP CSP Pseudocode

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