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SP08-exam1-sol

SP08-exam1-sol - UNIVERSITY OF CALIFORNIADAVIS DEPARTMENT...

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UC Davis 1 Hussain Al-Asaad U NIVERSITY OF C ALIFORNIA —D AVIS D EPARTMENT OF E LECTRICAL & C OMPUTER E NGINEERING EEC180A—D IGITAL S YSTEMS I S PRING 2008 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 12 0 2 0 22 0 2 0 32 0 2 0 42 0 2 0 52 0 2 0 Total 100 100

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UC Davis 2 Hussain Al-Asaad 1. N UMBER R EPRESENTATION AND B OOLEAN A LGEBRA (20 POINTS ) The parts of this problem are independent. 1.1 Express the decimal numbers below in the following 8-bit formats: sign & magnitude, one’s complement, and two’s complement. (10 points) 1.2 Using Boolean algebra, write the expression of the output in the circuit below and simplify it. (10 points) 2. K ARNAUGH M APS (20 POINTS ) Consider the function .
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SP08-exam1-sol - UNIVERSITY OF CALIFORNIADAVIS DEPARTMENT...

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