Laws and theorems of Boolean algebra MCQ

20 min
Score: 0
Attempted: 0/20
Subscribe

1. Which law states that A + 0 = A and A · 1 = A?
(A) Identity Law
(B) Null Law
(C) Idempotent Law
(D) Complement Law

2. Which law states that A + 1 = 1 and A · 0 = 0?
(A) Identity Law
(B) Complement Law
(C) Idempotent Law
(D) Null (Dominance) Law

3. Which law states that A + A = A and A · A = A?
(A) Identity Law
(B) Complement Law
(C) Idempotent Law
(D) Associative Law

4. Which law states that A + A′ = 1 and A · A′ = 0?
(A) Identity Law
(B) Distributive Law
(C) Null Law
(D) Complement Law

5. Which law allows the change of order of variables?
(A) Associative Law
(B) Distributive Law
(C) Commutative Law
(D) De Morgan’s Law

6. Which law allows regrouping of variables?
(A) Associative Law
(B) Commutative Law
(C) Distributive Law
(D) Identity Law

7. Which law states that A + (B · C) = (A + B)(A + C)?
(A) Distributive Law
(B) Commutative Law
(C) Identity Law
(D) Absorption Law

8. Which law states that A + (A · B) = A?
(A) Identity Law
(B) Absorption Law
(C) Idempotent Law
(D) Complement Law

9. Which law states that A · (A + B) = A?
(A) Distributive Law
(B) Absorption Law
(C) Complement Law
(D) Associative Law

10. According to De Morgan’s theorem, (A · B)’ is equal to:
(A) A′ · B′
(B) A′ + B′
(C) A + B
(D) (A + B)’

11. According to De Morgan’s theorem, (A + B)’ is equal to:
(A) A′ + B′
(B) A · B
(C) A + B
(D) A′ · B′

12. Which law states that (A′)′ = A?
(A) Complement Law
(B) Identity Law
(C) Involution Law
(D) Absorption Law

13. Which law states that A + A′·B = A + B?
(A) De Morgan’s Law
(B) Distributive Law
(C) Absorption Law
(D) Identity Law

14. Which law shows that A · (B + C) = (A · B) + (A · C)?
(A) Distributive Law
(B) Identity Law
(C) Associative Law
(D) Commutative Law

15. Which law states that A + A = A?
(A) Null Law
(B) Identity Law
(C) Idempotent Law
(D) Complement Law

16. Which law states that A · 0 = 0?
(A) Null Law
(B) Complement Law
(C) Identity Law
(D) Associative Law

17. Which theorem helps in simplifying complemented expressions?
(A) Associative Law
(B) Identity Law
(C) Idempotent Law
(D) De Morgan’s Theorem

18. Which law states that A + 1 = 1?
(A) Identity Law
(B) Null (Dominance) Law
(C) Absorption Law
(D) Idempotent Law

19. Which law is used to eliminate redundant terms?
(A) Distributive Law
(B) Absorption Law
(C) Associative Law
(D) Commutative Law

20. Which statement is TRUE about Boolean algebra laws?
(A) They apply only to arithmetic operations
(B) They help simplify logical expressions
(C) They cannot be proven
(D) They are used only in software design