homework_7_ece15a2012 - The input combination (x,y,z,w) =...

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Homework #7 February 22, 2012 1 Homework #7 due March 5 at noon ECE 15a Winter 2012 1. (15p) Design a combinational circuit with four inputs, x,y,w, and z, and four outputs: A, B, C, and D. When the binary input value in decimal is 6,7,14 or 15, the binary output value is one less than the input value, otherwise it is one greater than the input. 2. (10p) A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1’s than 0’s. The output is 0 otherwise. Design a 6-input majority circuit. 3. (10p) Design an 8-bit combinational circuit that produces the magnitude of a binary number pre- sented at the input. The number at the input is in 2’s complement. 4. (5p) Consider the following circuit:
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Unformatted text preview: The input combination (x,y,z,w) = (0,0,1,1) never occurs. Simplify the circuit such that the simplified and the old circuit produce the same output values for those input combinations that may occur. (5p)5. Construct a 4-to-16 line decoder with five 2-to-4 line decoders with enable. (5p) 6. A combinational circuit is defined by the following three Boolean functions: F1= xyz+xz F2=xyz+yz F3=xyz+xy Design the circuit with a decoder and external gates. (5p) 7. Construct a 16x1 multiplexer with two 8x1 and one 2x1 multiplexers. Use block diagrams. (5p) 8. Implement the following Boolean function using a multiplexer of the smallest possible size. F(A,B,C,D) = (0,2,4,6,8,11,12,15) x y z w a b c F d...
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This note was uploaded on 04/04/2012 for the course ECE 15A taught by Professor M during the Spring '08 term at UCSB.

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