WI11-exam1-sol

WI11-exam1-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 W INTER 2011 E XAM I 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 five 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 20 20 2 20 20 3 20 20 4 20 20 5 20 20 Total 100 100
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UC Davis 2 Hussain Al-Asaad 1. V ARIOUS I MPLEMENTATIONS (20 POINTS ) Consider the function . The complements of inputs are not available. 1.1 Find a minimum sum of products expression for F . (7 points) 1.2 Implement the function F using a single 2-to-1 MUX and two 2-input gates. (7 points) 1.3 Implement the function F using three 2-input gates. (6 points) Hint : Consider using two XOR gates and one OR gate. 2. K ARNAUGH M APS (20 POINTS ) Consider the function . F A B C   M 0 7 = 00 01 11 10 0 1 BC A 0 1 1 1 1 1 1 0 There are two possible answers: or F A B C   AB AC BC + + = F A B C   AB AC BC + + = 0 1 2-to-1 MUX A B C B C F A B
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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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WI11-exam1-sol - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT...

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