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thw_mod2_no3

Course: ECE 270, Spring 2012
School: Purdue
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Word Count: 202

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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: Name:...

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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: Name: __________________________________________ Signature: ______________________________________ Class No: __ __ __ __ - __ Score: _______ / 60 Your Class No. is the last four digits of your PUID followed by the first character of your last name. 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.
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