FA10-exam2-sol

# FA10-exam2-sol - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT...

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UC Davis 1 Hussain Al-Asaad U NIVERSITY OF C ALIFORNIA —D AVIS D EPARTMENT OF E LECTRICAL OMPUTER E NGINEERING EEC180A—D IGITAL S YSTEMS I F ALL 2010 E XAM II S TUDENT I NFORMATION I NSTRUCTIONS The exam is closed book and notes. A single double-sided cheat sheet is allowed. Print your name and your ID number. There are four problems in the exam. Solve all of them and show your work. If you need more space for your solution, use the back of the sheets. E XAM G RADE Name Hussain Al-Asaad ID Number xxx-xx-xxxx Problem Maximum Points Student Score 1 25 25 2 25 25 3 25 25 4 25 25 Total 100 100

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UC Davis 2 Hussain Al-Asaad 1. A RITHMETIC C IRCUITS (15 + 10 = 25 POINTS ) Let X be a 3-bit two’s complement number represented by X 2 X 1 X 0 and let Y be a 9-bit two’s complement number represented by Y 8 Y 7 Y 6 Y 5 Y 4 Y 3 Y 2 Y 1 Y 0 . 1.1 Design a gate-level circuit C that computes the function . Minimize the number of gates in your design. Assume that the input combination X 2 X 1 X 0 = 100 will never appear at the inputs of C . Moreover, you can assume that the literals and their complements are available. 1.2 Suppose that we have an 8-bit adder (shown below), show how we can implement the function . 2. F LIPFLOPS (5 + 6 + 6 + 8 = 25 POINTS ) Consider a new type of a positive edge-triggered flip-flop that we call the AB flip-flop. The characteristic equation of the AB flip-flop is . Moreover, the mode AB = 11 is not allowed. Y
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## This note was uploaded on 02/21/2012 for the course EEC 180A taught by Professor Redinbo during the Spring '08 term at UC Davis.

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FA10-exam2-sol - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT...

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