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a) Current-state | next-state table (transitio b) K-maps for each D flip-flop c) Resulting circuit (you can use Logisim if yo

a) Current-state | next-state table (transitio b) K-maps for each D flip-flop c) Resulting circuit (you can use Logisim if yo

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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### Design of a Sequential Machine Using D Flip-Flops **Objective:** Design a sequential machine that counts in the following sequence: 0, 2, 3, 1, 0, 2, 3, 1, ... using D flip-flops. #### Steps: a) **Current-State | Next-State Table (Transition Table)** Create a table that defines the current state (represented in binary) and the next state for each flip-flop. b) **Karnaugh Maps (K-maps) for Each D Flip-Flop** Use Karnaugh Maps (K-maps) to simplify the logic expression for each D flip-flop based on the transition table. c) **Resulting Circuit** Develop the resulting circuit based on the simplified logic expressions from the K-maps. For visualization purposes, you can use digital logic simulation software such as Logisim. ### Detailed Explanation: #### 1. Current-State | Next-State Table (Transition Table) --------------- | Current State | Next State | |---------------|------------| | 00 | 10 | | 10 | 11 | | 11 | 01 | | 01 | 00 | -------------- #### 2. K-maps for Each D Flip-Flop **For D1:** Set up the K-map based on the given current-state to next-state transitions. | A | B | D1 | |---|---|-----| | 0 | 0 | 1 | | 0 | 1 | 0 | | 1 | 0 | 1 | | 1 | 1 | 0 | Simplify to get the Boolean expression for D1. **For D0:** Set up the K-map based on the given current-state to next-state transitions. | A | B | D0 | |---|---|-----| | 0 | 0 | 0 | | 0 | 1 | 0 | | 1 | 0 | 1 | | 1 | 1 | 1 | Simplify to get the Boolean expression for D0. #### 3. Resulting Circuit - **D1 = B'** - **D0 = A ⊕ B** Using the
Transcribed Image Text:### Design of a Sequential Machine Using D Flip-Flops **Objective:** Design a sequential machine that counts in the following sequence: 0, 2, 3, 1, 0, 2, 3, 1, ... using D flip-flops. #### Steps: a) **Current-State | Next-State Table (Transition Table)** Create a table that defines the current state (represented in binary) and the next state for each flip-flop. b) **Karnaugh Maps (K-maps) for Each D Flip-Flop** Use Karnaugh Maps (K-maps) to simplify the logic expression for each D flip-flop based on the transition table. c) **Resulting Circuit** Develop the resulting circuit based on the simplified logic expressions from the K-maps. For visualization purposes, you can use digital logic simulation software such as Logisim. ### Detailed Explanation: #### 1. Current-State | Next-State Table (Transition Table) --------------- | Current State | Next State | |---------------|------------| | 00 | 10 | | 10 | 11 | | 11 | 01 | | 01 | 00 | -------------- #### 2. K-maps for Each D Flip-Flop **For D1:** Set up the K-map based on the given current-state to next-state transitions. | A | B | D1 | |---|---|-----| | 0 | 0 | 1 | | 0 | 1 | 0 | | 1 | 0 | 1 | | 1 | 1 | 0 | Simplify to get the Boolean expression for D1. **For D0:** Set up the K-map based on the given current-state to next-state transitions. | A | B | D0 | |---|---|-----| | 0 | 0 | 0 | | 0 | 1 | 0 | | 1 | 0 | 1 | | 1 | 1 | 1 | Simplify to get the Boolean expression for D0. #### 3. Resulting Circuit - **D1 = B'** - **D0 = A ⊕ B** Using the
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