Comparing Boolean Expressions - AP Computer Science A

1. Which expression is equivalent to !(a || b)?

   !a && !b. De Morgan's Law: negate OR, flip to AND, negate operands.

2. What is the result of the expression: !true?

   false. NOT operator flips true to false.

3. Determine the result of: true && (false || true).

   true. Parentheses first: (false || true) is true, then true && true.

4. Which expression is equivalent to !(a && b)?

   !a || !b. De Morgan's Law: negate AND, flip to OR, negate operands.

5. Evaluate: (false && false) || (true && false).

   false. Both AND operations are false, so false OR false is false.

6. Determine the result of: true || (false && true).

   true. true OR anything is always true.

7. What is the result of the expression: true || false?

   true. OR returns true if at least one operand is true.

8. Evaluate: true && (!false || false).

   true!false is true, (true || false) is true, true && true is true.

9. What does the '!' operator do in a Boolean expression?

   Negates the Boolean value. The NOT operator flips true to false and vice versa.

10. Determine the result of: (true || false) && !false.

    true. (true || false) is true, and true && true is true.

11. What is the precedence order of the operators: &&, ||, ! ?

    !, &&, ||. NOT has highest precedence, then AND, then OR.

12. Determine the result of: !(false || (true && true)).

    false. (true && true) is true, (false || true) is true, !(true) is false.

13. Determine the result of: (true || false) && false.

    false. (true || false) is true, but true && false is false.

14. What is the result of the expression: !false?

    true. NOT operator flips false to true.

15. Determine the result of: !(true && (false || true)).

    false. Inner expression is true, so !(true) is false.

16. Evaluate: !(false && (true || false)).

    true. (false && anything) is false, so !(false) is true.

17. Evaluate the expression: false || !true.

    false. false OR !true becomes false OR false equals false.

18. What is the result of: (true && true) || false?

    true. (true && true) is true, and true OR false is true.

19. What Boolean operator is represented by '&&'?

    Logical AND. Returns true only when both operands are true.

20. What is the result of the expression: true && false?

    false. AND requires both operands to be true.

21. Evaluate: true || (!false && false).

    true. true OR anything is always true.

22. Determine the result of: (true && false) || true.

    true. (true && false) is false, but false || true is true.

23. What Boolean operator is represented by '||'?

    Logical OR. Returns true when at least one operand is true.

24. Evaluate: false && (!false || true).

    false. false AND anything is always false.

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