270
Introduction ECE to Digital System Design
Fall 2011
TakeHomaWork for Module 2 Due September 19, 2011
1. [10 points] For the function mapped below: W Y 1 0 1 Y 1 X 1 X 0 1 X 1 0 1 0 0 1 W 1 0 Z 0 Z Z
(a) [5 points]Write a minimal sum-of-products expression and calculate its cost:
(b) [5 points] Write a minimal product-of-sums expression and calculate its cost:
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ECE 270
Introduction to Digital System Design
Fall 2011
2. [10 points] Express the complement of the following function as an SET ON and draw a NAND-NAND circuit realization: F(X,Y,Z) = Y + XZ
________________________________________________________________________ 3. [10 points] Express the dual of the following function as an OFF SET and draw a NOR-NOR circuit realization: F(X,Y,Z) = Y + XZ
ECE 270
Introduction to Digital System Design
Fall 2011
4. [30 points] Assuming that only true variables are available, realize the function F(X,Y,Z) mapped below three different ways: (a) [10 points] Using only 7400 (quad 2-input NAND) chips (b) [10 points] Using only 7402 (quad 2-input NOR) chips (c) [10 points] Using only 7403 (quad 2-input open-drain NAND) chips X Z Z 1 1 Y 0 0 Y 1 0 X 1 1 Y
Show complete schematics for each realization, along with your derivations.