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inter Digital Logic CpE 2120-A Swift

inter Digital Logic

CpE 2120-A Swift Due: Wednesday, February 8, 2017 Homework 4 15 pts.
1. (3 pts. each) Use truth tables to show that the following absorption theorems are true: a. yx x x ?? b. ? ? y x x x ??
2. (3 pts.) Use algebraic manipulation to show that the following is true: xy xyz xyz xy xz yz ?? ? ? ? ? ? 3. (3 pts.) Sketch the logic circuit representation of the following function. You may use NOT, 2-input AND, and/or 2-input OR gates in your representation: ? ? ? ?? ? , , , f w x y z z x y w x y ? ? ? ? ? ? ?
4. (3 pts.) Rewrite the following function into sum-of-products form, making any obvious simplifications: ? ? ? ?? ? , , , f w x y z z x y w x y ? ? ? ? ? ? ? .


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