SP10-pp2 - UNIVERSITY OF CALIFORNIADAVIS DEPARTMENT OF...

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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 Spring 20 10 P RACTICE P ROBLEMS — S ET 2 1. Number Representation: Design a combinational circuit that converts a 4-bit one’s complement number X to its corresponding two’s complement number Y . 2. ALU Design: Design a bit slice of the ALU shown below. The ALU performs one of the eight operations (summarized in the table below) on the two data inputs A = A n – 1 ...A 0 and B = B n – 1 ...B 0 according to the values of the selection input S = S 2 S 1 S 0 . 3. Waveforms: Complete the output waveforms of the diagram shown below for the following fliplflops: (a) positive-edge triggered JK flipflop, and (b) negative-edge triggered JK flipflop. C 0 C 1 C 2 C n –1 M S C n S 2 S 1 A 0 B 0 A 1 B 1 A n – 1 B n – 1 F 0 F 1 F n – 1 Slice 0 Slice 1 Slice n – 1 .... S 2 S 1 S 0 ALU Operation 000 F = 0. ..0 001 F = B minus A 010 F = A minus B 011 F = A plus B 100 F = A XOR B 101 F = A OR B 110 F = A AND B 111 F = 1. ..1 C i C i
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SP10-pp2 - UNIVERSITY OF CALIFORNIADAVIS DEPARTMENT OF...

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