APCSP Boolean Logic 2

Question 1

Given x = 5, which Boolean condition evaluates to TRUE?

Accepted Answer

x > 3 AND x < 10

Answer

5 > 3 is TRUE and 5 < 10 is TRUE, so the AND expression evaluates to TRUE.

Question 2

What does the expression NOT(TRUE AND FALSE) evaluate to?

Accepted Answer

TRUE

Answer

TRUE AND FALSE = FALSE, then NOT(FALSE) = TRUE.

Question 3

A login system uses the condition (username_correct AND password_correct). When does the user gain access?

Accepted Answer

When both username and password are correct

Answer

The AND operator requires both conditions to be TRUE for the overall expression to be TRUE, so both credentials must be correct.

Question 4

Which Boolean expression is equivalent to NOT(A OR B) according to De Morgan's law?

Accepted Answer

NOT(A) AND NOT(B)

Answer

By De Morgan's law, NOT(A OR B) = NOT(A) AND NOT(B).

Question 5

The condition (x > 0 OR y > 0) is TRUE when:

Accepted Answer

At least one of x or y is positive

Answer

OR is TRUE when at least one operand is TRUE, so only one of the values needs to be positive.

(APCSP) AP Computer Science Principles Practice Test