Algebra Of Sets

Question 1

What is an example of the commutative law of Boolean algebra ?

Answer 1

A ⋃ B = B ⋃ A

A ⋂ B = B ⋂ A

Question 2

What is an example of the Associative law of Boolean algebra ?

Answer 2

(A ⋃ B) ⋃ C = A ⋃ (B ⋃ C)

A ⋂ B) ⋂ C = A ⋂ (B ⋂ C

Question 3

What is an example of the Distributive law of Boolean Algebra ?

Answer 3

A ⋃ (B ⋂C) = (A ⋃ B) ⋂ (A ⋃ C)

A ⋂ (B ⋃C) = (A ⋂ B) ⋃ (A ⋂ C)

Question 4

What is an example of identities in Boolean systems ?

Answer 4

A ⋃ ⌀ = A

A ⋂ ℇ = A

Question 5

What is an example of the idempotent law in Boolean algebra?

Answer 5

A ⋃ A = A

A ⋂ A = A

Question 6

What is an example of Annihilation in Boolean systems ?

Answer 6

A ⋂ ⌀ = ⌀

Question 7

Give an example of how the idea of complement works in the Boolean system of Algebra?

Answer 7

A ⋃ A’ = ℇ

A ⋂ A’ = ⌀

Question 8

Give an example of absorption laws in Boolean algebra.

Answer 8

A ⋃ (A ⋂ B) = A

A ⋂ (A ⋃ B) = A

Question 9

Give an example of De Morgan’s laws for Boolean Algebra.

Answer 9

(A ⋂ B)’ =A’⋃ B’

(A ⋃ B)’ =A’⋂ B’