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.
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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![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 \( x = 1 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb7c75fa-9cac-427d-99c6-6c77231fc81c%2F68b1cc72-4774-4757-a76e-554571889f04%2F2otztp_processed.png&w=3840&q=75)
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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