FA10-exam2

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

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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 ID Number Problem Maximum Points Student Score 1 25 2 25 3 25 4 25 Total 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.
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FA10-exam2 - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT OF...

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