Boolean Algebra Laws

Question 1

What is the identity law (Boolean algebra)?

Answer 1

1.A = A
0+A = A

Question 2

What is the null law (Boolean algebra)?

Answer 2

0.A = 0
1+A = 1

Question 3

What is the idempotent law?

Answer 3

A.A = A
A+A = A

Question 4

What is the inverse law (Boolean algebra)?

Answer 4

A.A’ = 0
A+A’ = 1

Question 5

What is the communitive law (Boolean algebra)?

Answer 5

A.B = B.A
A+B = B+A

Question 6

What is the involution law (Boolean algebra)?

Answer 6

A’’ = A

Question 7

What is the distributive law (Boolean algebra)?

Answer 7

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

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

Question 8

What is the absorption law (Boolean algebra)?

Answer 8

A.B + A = A

A’.B + A = A+B

Question 9

What is the associative law (Boolean algebra)?

Answer 9

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

Question 10

What is De Morgan’s law (Boolean algebra)?

Answer 10

(A+B)’ = A’.B’
(A.B)’ = A’+B’