Simplify Boolean Algebra

Question 1

Commutative Law

Answer 1

1) A + B = B + A

2) A.B = BA

Question 2

Associate Law

Answer 2

1) (A + B) + C = A + (B + C)

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

Question 3

Distributive Law

Answer 3

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

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

Question 4

Idempotence Law

Answer 4

1) A + A = A

2) A . A = A

Question 5

Identity Law

Answer 5

1) 0 + A = A
2) 0 . A = 0
3) 1 + A = 1
4) 1 . A = A

Question 6

Complement Law

Answer 6

1) (not) A + A = 1

2) (not) A . A = 0