### Design of a Counter using D Flip-Flops**Problem Statement:**3. Use D flip-flops to design a counter with the following repeated binary sequence: 1, 3, 7, 5, 11, 9, 13, 15. Use *don't care* states as appropriate.**Solution Approach:**To design the counter using D flip-flops, follow these steps:1. **State the Binary Sequence:** Write down the provided binary sequence: - 1 (0001) - 3 (0011) - 7 (0111) - 5 (0101) - 11 (1011) - 9 (1001) - 13 (1101) - 15 (1111)2. **Create a State Table:** Develop a state table for the counter showing the present states and the next states in the binary sequence. 3. **Construct Flip-Flop Excitation Table:** Use the state table to determine the necessary input conditions for the D flip-flops.4. **Design the Circuit:** Draw the logic circuit diagram using the excitation functions derived from the excitation table.5. **Handling Don't Care States:** Employ don't care conditions in the Karnaugh maps while simplifying the Boolean expressions.**State Table:**| Present State | Next State ||:-------------:|:----------:|| 0001 | 0011 || 0011 | 0111 || 0111 | 0101 || 0101 | 1011 || 1011 | 1001 || 1001 | 1101 || 1101 | 1111 || 1111 | 0001 |**Excitation Table for D Flip-Flops:**(D0, D1, D2, and D3 are the inputs to the D flip-flops.)Using the state table, determine the inputs required to transition between states:- For D0, D1, D2, and D3, use the next state values directly as the input since a D flip-flop is used.**Example Transitions:**| Flip-Flop | Present State | Next State ||:---------:|:-------------:|

Answered: 3. Use D flip-flops to design a counter…

3. Use D flip-flops to design a counter with the following repeated binary sequence: 1, 3, 7, 5, 11, 9, 13, 15. Use don't care states as appropriate.

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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