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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5-8)
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Unformatted text preview: Derive the state table and the state diagram of the sequential circuit shown in Fig P5-8. Explain the function the circuit performs. State Controls Next state A B T A =A+B T B =A+B A B 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 This is a divide by 3 circuit 1 1 5-9) A sequential circuit has two JK flip-flops A and B and one input x. The circuit is described by the following input equations: J A = x K A = B J B = x K B = A a) Derive the state equations A(t+1) and B(t+1) by substituting the input equations for the J and K variables A(t+1) = xA(t) + A(t)B(t) B(t+1) = A(t)B(t) + xB(t) b) Draw the state diagram of the circuit. 1 1 1 0,1 1 1...
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This note was uploaded on 03/24/2012 for the course ECE 322097 taught by Professor Staff during the Spring '08 term at Drexel.

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

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