### Design a Clocked Synchronous State Machine**Task:**Design a clocked synchronous state machine with the state/output table below, using D flip-flops. Use the two state variables, \(Q_1Q_2\), with the state assignment:- \( A = 00 \)- \( B = 01 \)- \( C = 11 \)- \( D = 10 \)#### State Table:| P.S. (Present State) | Output \( Z \) | N.S. (Next State) \( S^+ \) ||----------------------|----------------|-----------------------------|| \( S \) | | \( X=0 \) | \( X=1 \) || \( A \) | 0 | \( B \) | \( D \) || \( B \) | 0 | \( C \) | \( B \) || \( C \) | 1 | \( B \) | \( A \) || \( D \) | 0 | \( B \) | \( C \) |**Explanation:**- **P.S. (Present State):** Represents the current state of the system.- **Output \( Z \):** The output associated with each state.- **N.S. (Next State) \( S^+ \):** The next state the system transitions to based on the input \( X \).#### Implementation Notes:- The design involves using D flip-flops for state storage.- Implement state transitions and output logic using the given state/output table.- Assign states to binary codes as per the state assignment provided.

we need to design:A synchronous state machine with state/output table below:

Design a clocked synchronous state machine with the state/output table below, using D flip flops. Use the two state variables, Q1Q2, with the state assignment A=00, B=01, C=11, D=10. P.S. S A B C D Output Z 0 1 0 N.S. S+ X=0 X=1 B D C B B A B C

Design a clocked synchronous state machine with the state/output table below, using D flip flops. Use the two state variables, Q1Q2, with the state assignment A=00, B=01, C=11, D=10. P.S. S A B C D Output Z 0 1 0 N.S. S+ X=0 X=1 B D C B B A B C

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

### Design a Clocked Synchronous State Machine

**Task:**
Design a clocked synchronous state machine with the state/output table below, using D flip-flops. Use the two state variables, \(Q_1Q_2\), with the state assignment:

- \( A = 00 \)
- \( B = 01 \)
- \( C = 11 \)
- \( D = 10 \)

#### State Table:

| P.S. (Present State) | Output \( Z \) | N.S. (Next State) \( S^+ \) |
|----------------------|----------------|-----------------------------|
| \( S \) | | \( X=0 \) | \( X=1 \) |
| \( A \) | 0 | \( B \) | \( D \) |
| \( B \) | 0 | \( C \) | \( B \) |
| \( C \) | 1 | \( B \) | \( A \) |
| \( D \) | 0 | \( B \) | \( C \) |

**Explanation:**
- **P.S. (Present State):** Represents the current state of the system.
- **Output \( Z \):** The output associated with each state.
- **N.S. (Next State) \( S^+ \):** The next state the system transitions to based on the input \( X \).

#### Implementation Notes:
- The design involves using D flip-flops for state storage.
- Implement state transitions and output logic using the given state/output table.
- Assign states to binary codes as per the state assignment provided.

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