How to represent this circuit using Boolean algebra?

[Kimly]

Hi,

Can someone please show me how to represent this simple circuit using Boolean algebra? I'm new to this.

Thanks in advance!

[Jerome Trent]

Here are some basic rules to follow for Boolean Algebra.

You can find these and more here.

Commutative Law

(a) A + B = B + A
(b) A B = B A

Associate Law

(a) (A + B) + C = A + (B + C)
(b) (A B) C = A (B C)

Distributive Law

(a) A (B + C) = A B + A C
(b) A + (B C) = (A + B) (A + C)

Identity Law

(a) A + A = A
(b) A A = A

Redundance Law

(a) A + A B = A
(b) A (A + B) = A

Zero Property

(a) 0 + A = A
(b) 0 A = 0

Unit

(a) 1 + A = 1
(b) 1 A = A

Inverted

(a)
(b)