**Sequential Circuit Design Using Flip-Flops**A sequential circuit has three flip-flops: A, B, and C; one input, \( X_{in} \); and one output, \( Y_{out} \). The state diagram is depicted below. The circuit is to be designed by treating the unused states as don't-care conditions. Analyze the circuit obtained from this design to determine the effect of the unused states.**Tasks:**a) Use D flip-flops.b) Use T flip-flops.**State Diagram Explanation:**The state diagram consists of the following states represented by binary numbers:- **001**: From state 001, with input 0, the system stays in 001 and outputs 0. With input 1, it transitions to state 011, outputting 0.- **011**: From state 011, with input 0, it transitions to state 010, outputting 0. With input 1, it goes to state 001, outputting 1.- **010**: From state 010, with input 0, it transitions to state 000, outputting 0. With input 1, it stays in 010, outputting 1.- **000**: From state 000, with input 1, it transitions back to 100, outputting 1. It has no transition with input 0.- **100**: From state 100, with input 0, it transitions to 011, outputting 0. With input 1, it loops back to 001, outputting 1.To design the circuit, evaluate the state transitions and treat any states not included in the diagram (unused states) as don't-care conditions to simplify the logic implementation. Consider both D and T flip-flops for implementing the state transitions, analyzing how the simplification of unused states impacts the overall logic design.

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3 A sequential circuit has three flip-flops A, B, C; one input Xin ; and one output Yout . The state diagram is shown in Next Figure. The circuit is to be designed by treating the unused states as don't-care conditions. Analyze the circuit obtained from the design to determine the effect of the unused states.

3 A sequential circuit has three flip-flops A, B, C; one input Xin ; and one output Yout . The state diagram is shown in Next Figure. The circuit is to be designed by treating the unused states as don't-care conditions. Analyze the circuit obtained from the design to determine the effect of the unused states.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

**Sequential Circuit Design Using Flip-Flops**

A sequential circuit has three flip-flops: A, B, and C; one input, \( X_{in} \); and one output, \( Y_{out} \). The state diagram is depicted below. The circuit is to be designed by treating the unused states as don't-care conditions. Analyze the circuit obtained from this design to determine the effect of the unused states.

**Tasks:**
a) Use D flip-flops.
b) Use T flip-flops.

**State Diagram Explanation:**

The state diagram consists of the following states represented by binary numbers:

- **001**: From state 001, with input 0, the system stays in 001 and outputs 0. With input 1, it transitions to state 011, outputting 0.
- **011**: From state 011, with input 0, it transitions to state 010, outputting 0. With input 1, it goes to state 001, outputting 1.
- **010**: From state 010, with input 0, it transitions to state 000, outputting 0. With input 1, it stays in 010, outputting 1.
- **000**: From state 000, with input 1, it transitions back to 100, outputting 1. It has no transition with input 0.
- **100**: From state 100, with input 0, it transitions to 011, outputting 0. With input 1, it loops back to 001, outputting 1.

To design the circuit, evaluate the state transitions and treat any states not included in the diagram (unused states) as don't-care conditions to simplify the logic implementation.

Consider both D and T flip-flops for implementing the state transitions, analyzing how the simplification of unused states impacts the overall logic design.

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