Problem 4: Design a sequential circuit with the finite state machine shown in Table 2, using D Flip-Flops. Use two state variables, Q1, Q2, with the state assignment A = 00, B = 01(aka Q1=0, Q2=1), C = 11, D=10. Next State, Output Current State Input 0 1 A B,1 D,0 B C,0 B,0 C B,1 A,0 D B,0 C,0 Table 2

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### Problem 4: Sequential Circuit Design Using Finite State Machine

**Objective:**
Design a sequential circuit using the finite state machine illustrated in Table 2, employing D Flip-Flops. The design should incorporate two state variables, Q1 and Q2. The state assignments are defined as follows:
- State A = 00
- State B = 01 (i.e., Q1 = 0, Q2 = 1)
- State C = 11
- State D = 10

#### Table 2: State Transition and Output Table
| **Current State** | **Next State, Output** |
|-------------------|------------------------|
|                   | **Input**              |
|                   | 0                      | 1                      |
| **A**             | B, 1                   | D, 0                   |
| **B**             | C, 0                   | B, 0                   |
| **C**             | B, 1                   | A, 0                   |
| **D**             | B, 0                   | C, 0                   |

#### Explanation of Table 2:
- **Current State:** Represents the present state of the system.
- **Next State, Output:**
  - **Input 0:** When the input is 0, the specified next state and output are given.
  - **Input 1:** When the input is 1, the specified next state and output are given.

For example:
- If the current state is A and the input is 0, the next state will be B and the output will be 1.
- If the current state is A and the input is 1, the next state will be D and the output will be 0.
- Repeat similar analysis for states B, C, and D for both input conditions (0 and 1).

Understanding and applying these state transitions will enable the design of a specific sequential circuit that adheres to the prescribed finite state machine structure using D Flip-Flops.
Transcribed Image Text:### Problem 4: Sequential Circuit Design Using Finite State Machine **Objective:** Design a sequential circuit using the finite state machine illustrated in Table 2, employing D Flip-Flops. The design should incorporate two state variables, Q1 and Q2. The state assignments are defined as follows: - State A = 00 - State B = 01 (i.e., Q1 = 0, Q2 = 1) - State C = 11 - State D = 10 #### Table 2: State Transition and Output Table | **Current State** | **Next State, Output** | |-------------------|------------------------| | | **Input** | | | 0 | 1 | | **A** | B, 1 | D, 0 | | **B** | C, 0 | B, 0 | | **C** | B, 1 | A, 0 | | **D** | B, 0 | C, 0 | #### Explanation of Table 2: - **Current State:** Represents the present state of the system. - **Next State, Output:** - **Input 0:** When the input is 0, the specified next state and output are given. - **Input 1:** When the input is 1, the specified next state and output are given. For example: - If the current state is A and the input is 0, the next state will be B and the output will be 1. - If the current state is A and the input is 1, the next state will be D and the output will be 0. - Repeat similar analysis for states B, C, and D for both input conditions (0 and 1). Understanding and applying these state transitions will enable the design of a specific sequential circuit that adheres to the prescribed finite state machine structure using D Flip-Flops.
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