# 12 - Spot the law, general questions

1. A * A = A
`Note: In all these questions - simply spot and name the law `

commutative

idempotent

distributive

associative

2. (A * B) * C = A * (B * C)

commutative

idempotent

distributive

associative

3. A * B = B * A

associative

idempotent

commutative

distributive

4. A * (B + C) = A * B + A * C

idempotent

commutative

distributive

associative

5. A * 0 = 0

DeMorgan's

complement

Absorption

identity

6. A + 1 = 1

DeMorgan's

Absorption

complement

identity

7. A * ~A = 0

identity

complement

Absorption

DeMorgan's

8. ~(A * B) = ~A + ~B

identity

complement

Absorption

DeMorgan's

9. A + (A * B) = A

Absorption

DeMorgan's

identity

complement

10. A + ~A = 1

complement

DeMorgan's

identity

Absorption

11. A + 0 = A

DeMorgan's

complement

identity

Absorption

12. A * 1 = A

DeMorgan's

complement

identity

Absorption

13. A + (B * C) = (A + B) * (A + C)

idempotent

distributive

associative

commutative

14. A + B = B + A

commutative

distributive

associative

idempotent

15. (A + B) + C = A + (B + C)

idempotent

associative

distributive

commutative

16. A + A = A

idempotent

distributive

commutative

associative

17. (A + B) = ~A * ~B

DeMorgan's

Absorption

identity

complement

18. A * (A + B) = A

DeMorgan's

Absorption

complement

identity

19. (A + B) * (A + ~B) = A

Absorption

DeMorgan's

identity

complement

20. A * (~A + B) = A * B

DeMorgan's

complement

identity

Absorption