hw8_solution_march15

hw8_solution_march15 - Homework #8 ECE 15a (5p)1. Construct...

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Homework #8 ECE 15a Winter 2010 (5p)1. Construct a 4-to-16 line decoder with five 2-to-4 line decoders with enable.
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(5p) 2. A combinational circuit is defined by the following three Boolean functions: F1= x’y’z’+xz F2=x’yz’+yz’ F3=x’y’z+xy Design the circuit with a decoder and external gates. (5p) 3. Construct a 16x1 multiplexer with two 8x1 and one 2x1 multiplexers. Use block diagrams.
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(5p) 4. Implement the following Boolean function using a multiplexer of the smallest possible size. F(A,B,C,D) = (1,3,5,7,9,11,12,13) (10p) 5. Implement a full adder with two 4x1 multiplexers. 6. A combinational circuit is defined by the following Boolean functions: A(x,y,z,w) = (4,5,12,13) B(x,y,z,w) = (5,6,13,14) C(x,y,z,w)= (6,7,14,15) D(x,y,z,w)= (4,6,7,12,14,15) (5p) (a) Tabulate the truth table for an 16x4 ROM that implements these Boolean functions (x,y,z,w) A B C D 0000 0 0 0 0 0001 0 0 0 0 0010 0 0 0 0 0011 0 0 0 0 0100 1 0 0 1 0101 1 1 0 0 0110 0 1 1 1 0111 0 0 1 1 1000 0 0 0 0
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1001 0 0 0 0 1010 0 0 0 0 1011 0 0 0 0 1100 1 0 0 1 1101 1 1 0 0 1110 0 1 1 1 1111 0 0 1 1 Variable X can be eliminated.
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hw8_solution_march15 - Homework #8 ECE 15a (5p)1. Construct...

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