A sequential circuit with two D flip-flops, A and B; two inputs, x and y; and one output, Z, is specified by the following 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) Derive the state table. (c) Derive the state diagram.

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digital system class

A sequential circuit with two D flip-flops, \( A \) and \( B \); two inputs, \( x \) and \( y \); and one output, \( Z \), is specified by the following next-state and output equations:

\[ A(t + 1) = x'y + xA \]

\[ B(t + 1) = x'B + xA \]

\[ z = B \]

Tasks:
(a) Draw the logic diagram of the circuit.

(b) Derive the state table.

(c) Derive the state diagram.
Transcribed Image Text:A sequential circuit with two D flip-flops, \( A \) and \( B \); two inputs, \( x \) and \( y \); and one output, \( Z \), is specified by the following next-state and output equations: \[ A(t + 1) = x'y + xA \] \[ B(t + 1) = x'B + xA \] \[ z = B \] Tasks: (a) Draw the logic diagram of the circuit. (b) Derive the state table. (c) Derive the state diagram.
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