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# hw06 - Derive the state table and the state diagram of the...

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Homework 6 – due 6/9 5-6) A sequential circuit with two D flip-flops, A and B, two inputs, x and y, and one output z, is specified by the next state and output equations: A(t+1) = x’y + xA B(t+1) = x’B + xA z = B a) Draw the logic diagram of the circuit b) List the state table for the sequential circuit State Input Next state Output A B x y A B z 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 D Q A D Q B x y Clock z

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c) Draw the corresponding state diagram 00/ 01/ 10/ 11/ 00,10,11 01 00 10,11 01 01,10,11 00 01 10,11 00
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