Deriving an equations from a logic diagram “Logic and Computer Design Fundamentals 1″?

Question by Abo: Deriving an equations from a logic diagram “Logic and Computer Design Fundamentals 1″?
Refer to the logic diagram opposite and derive an equation
for each of the four circuit outputs x, y, z, and w.

Here is the diagram :

http://img64.imageshack.us/img64/1779/hw3j.png

Best answer:

Answer by Roger
z = not D
y = (D)(C) + (not C)(not D) y is an exclusive NOR
x = (B)(not C)(not D) + (not B)(C)(D)
w = A + (B)(C)(D)

Give your answer to this question below!

Question by Abo: Deriving an equations from a logic diagram “Logic and Computer Design Fundamentals 1″?
Refer to the logic diagram opposite and derive an equation
for each of the four circuit outputs x, y, z, and w.

Here is the diagram :

http://img64.imageshack.us/img64/1779/hw3j.png

Best answer:

Answer by Roger
z = not D
y = (D)(C) + (not C)(not D) y is an exclusive NOR
x = (B)(not C)(not D) + (not B)(C)(D)
w = A + (B)(C)(D)

Know better? Leave your own answer in the comments!