A sequential circuit has three D flip-flops, A, B, and C, and one input, X is described by the following flip-flop input equations: D, = (BC' + B'C) x + (BC + B'C') x' Dg = A Dc = B (a) Derive the state table for the circuit. (b) Draw two state diagrams: one for x = 0 and the other for x = 1.

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digital system class

A sequential circuit has three D flip-flops, \( A \), \( B \), and \( C \), and one input, \( X \). It is described by the following flip-flop input equations:

\[
D_A = (BC' + B'C)x + (BC + B'C')x'
\]

\[
D_B = A
\]

\[
D_C = B
\]

Tasks:

(a) Derive the state table for the circuit.

(b) Draw two state diagrams: one for \( x = 0 \) and the other for \( x = 1 \).
Transcribed Image Text:A sequential circuit has three D flip-flops, \( A \), \( B \), and \( C \), and one input, \( X \). It is described by the following flip-flop input equations: \[ D_A = (BC' + B'C)x + (BC + B'C')x' \] \[ D_B = A \] \[ D_C = B \] Tasks: (a) Derive the state table for the circuit. (b) Draw two state diagrams: one for \( x = 0 \) and the other for \( x = 1 \).
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