hw6sol - Next state D A D B D C(E=0 Next state D A D B D...

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1 ECE 2030F Homework 6 Solution (Total 50 points) 1. (Mano/Kime 3 rd ed problem 6-5): (15 points) (a) Logic diagram of the circuit (5 points) (b) State table (5 points) (c) State diagram (5 points) Inputs X Y Present state A B Next state D A D B Output Z 0 0 0 0 (S0) 0 0 (S0) 0 0 1 0 0 (S0) 0 0 (S0) 0 1 0 0 0 (S0) 0 0 (S0) 0 1 1 0 0 (S0) 1 0 (S2) 0 0 0 0 1 (S1) 0 0 (S0) 0 0 1 0 1 (S1) 0 0 (S0) 0 1 0 0 1 (S1) 0 1 (S1) 1 1 1 0 1 (S1) 1 1 (S3) 1 0 0 1 0 (S2) 1 1 (S3) 0 0 1 1 0 (S2) 1 1 (S3) 0 1 0 1 0 (S2) 0 0 (S0) 0 1 1 1 0 (S2) 1 0 (S2) 0 0 0 1 1 (S3) 1 1 (S3) 0 0 1 1 1 (S3) 1 1 (S3) 0 1 0 1 1 (S3) 0 1 (S1) 1 1 1 1 1 (S3) 1 1 (S3) 1

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2 2. (Mano/Kime 3 rd ed problem 6-16): (20 points) (a) State diagram with the state assignment: (5 points) S0 = 000, S1 = 001, S2 = 010, S3 = 011, S4 = 100, S5 = 101, S6 = 110 and S7 = 111. (b) State table: (5 points) Present state A B C
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Unformatted text preview: Next state D A D B D C (E=0) Next state D A D B D C (E=1) Output Z 0 0 0 (S0) 0 0 1 (S1) 0 0 1 (S1) 0 0 0 1 (S1) 0 1 0 (S2) 0 1 0 (S2) 0 0 1 0 (S2) 0 1 1 (S3) 0 1 1 (S3) 0 0 1 1 (S3) 1 0 0 (S4) 1 0 0 (S4) 0 1 0 0 (S4) 1 0 1 (S5) 1 0 1 (S5) 0 1 0 1 (S5) 1 1 0 (S6) 1 1 0 (S6) 0 1 1 0 (S6) 1 1 1 (S7) 1 1 1 (S7) 0 1 1 1 (S7) 1 1 1 (S7) 0 0 0 (S0) 1 (c) Circuit with D flip-flops and logic gates: (10 points) ABC Z ABC E C D ABC E C B C B D ABC E BC A C A B A D C B A = + = + + = + + + = 3 3. (Mano/Kime 3 rd ed problem 7-22): (15 points) (a) Logic diagram of single-bit register transfer: (7 points) Let S and S 1 be the two select variables of the 4-to-1 multiplexer. (b) Logic diagram of multiplexer selects and the load signal of R4: (8 points) C 3 C 2 C 1 C S 1 S load 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1...
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hw6sol - Next state D A D B D C(E=0 Next state D A D B D...

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