Q1.Please design a FSM to implement the basic function of one vending machine. a. You can insert two types of coins (1 yuan or 2 yuan) b. This machine can deliver one bottle of water worth 2 yuan Give the whole process of your solution: identification of input, output, state, stategraph, statetable, NextStateEquation, output equation and diagram of the circuit. Note (I have already answered it but i am not sure if its correct so can you write it in orderly manner ?)

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Q1.Please design a FSM to implement the basic function of one
vending machine.
a. You can insert two types of coins (1 yuan or 2 yuan)
b. This machine can deliver one bottle of water worth 2 yuan
Give the whole process of your solution: identification of input,
output, state, stategraph, statetable, 
 NextStateEquation,  output equation and diagram of the circuit. 

Note

(I have already answered it but i am not sure if its correct  so can you write it in orderly manner ?)

### State Encoding

#### State Table

| Present State | Input   | Next State | Output   |
|---------------|---------|------------|----------|
| Q1 | Q0 | P  | N | D1 | D0 | O |
|----|----|----|---|----|----|---|
| 0  | 0  | 0  | 0 | 0  | 0  | 0 |
| 0  | 0  | 0  | 1 | 0  | 1  | 0 |
| 0  | 0  | 1  | 0 | 1  | 0  | - |
| 0  | 0  | 1  | 1 | -  | -  | - |
| 0  | 1  | 0  | 0 | 0  | 1  | 0 |
| 0  | 1  | 0  | 1 | 0  | 1  | 0 |
| 0  | 1  | 1  | 0 | 1  | 1  | 0 |
| 0  | 1  | 1  | 1 | -  | -  | - |
| 1  | 0  | 0  | 0 | 1  | 0  | 0 |
| 1  | 0  | 0  | 1 | 1  | 1  | 0 |
| 1  | 0  | 1  | 0 | -  | -  | - |
| 1  | 0  | 1  | 1 | 1  | 1  | 0 |
| 1  | 1  | 0  | 0 | 1  | 1  | 0 |
| 1  | 1  | 0  | 1 | 1  | 1  | - |
| 1  | 1  | 1  | 0 | -  | -  | - |
| 1  | 1  | 1  | 1 | 1  | 1  | 1 |

---

### Explanation of the Columns

1. **Present State**: This column shows
Transcribed Image Text:### State Encoding #### State Table | Present State | Input | Next State | Output | |---------------|---------|------------|----------| | Q1 | Q0 | P | N | D1 | D0 | O | |----|----|----|---|----|----|---| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 0 | 1 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | - | | 0 | 0 | 1 | 1 | - | - | - | | 0 | 1 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | - | - | - | | 1 | 0 | 0 | 0 | 1 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 1 | 0 | | 1 | 0 | 1 | 0 | - | - | - | | 1 | 0 | 1 | 1 | 1 | 1 | 0 | | 1 | 1 | 0 | 0 | 1 | 1 | 0 | | 1 | 1 | 0 | 1 | 1 | 1 | - | | 1 | 1 | 1 | 0 | - | - | - | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | --- ### Explanation of the Columns 1. **Present State**: This column shows
### Finite State Machine (FSM) for a Vending Machine

The image depicts the design and operational states of a finite state machine (FSM) for a vending machine. Here’s a detailed explanation, along with a transcription of the content:

#### Components and Flow
- **Input & Output:** 
  - **Input:** N (Typically a signal indicating a nickel) and D (Typically a signal indicating a dime).
  - **Output:** `open` (to release the mechanism).

- **Functional Blocks:**
  - **Coin Sensor:** Detects coins, providing input to the vending machine.
  - **Vending Machine:** Processes input and sends a signal to open the release mechanism.

- **Flow Description:**
  - From the coin sensor, inputs N and D go into the vending machine.
  - According to the input and current state, the vending machine might send a signal to open the release mechanism.

#### Symbolic State Table
The symbolic state table defines the transitions between different states based on inputs.

| Present State | Inputs | Next State | Output (open) |
|---------------|--------|------------|---------------|
| 0 ¥           | P      | 0 ¥        | 0             |
|               | N      | 0.5 ¥      | 0             |
| 0.5 ¥         | D      | 1 ¥        | 0             |
|               | P      | 0.5 ¥      | 0             |
| 1 ¥           | N      | 1.5 ¥      | 0             |
|               | P      | 1 ¥        | 0             |
| 1.5 ¥         | N      | 2 ¥        | 0             |
|               | D      | 2 ¥        | 0             |
| 2 ¥           | P      | 2 ¥        | 1 (open)      |

#### State Transition Diagram
The state transition diagram is a visual representation of the state transitions:

- **States:**
  - 0 ¥, 0.5 ¥, 1 ¥, 1.5 ¥, 2 ¥ 

- **Transitions:**
  - From **0 ¥**:
    - Input N transitions to 0.5 ¥
    - Input D stays at 0 ¥
  - From **0.5 ¥**:
    - Input N transitions to 1 ¥
    - Input
Transcribed Image Text:### Finite State Machine (FSM) for a Vending Machine The image depicts the design and operational states of a finite state machine (FSM) for a vending machine. Here’s a detailed explanation, along with a transcription of the content: #### Components and Flow - **Input & Output:** - **Input:** N (Typically a signal indicating a nickel) and D (Typically a signal indicating a dime). - **Output:** `open` (to release the mechanism). - **Functional Blocks:** - **Coin Sensor:** Detects coins, providing input to the vending machine. - **Vending Machine:** Processes input and sends a signal to open the release mechanism. - **Flow Description:** - From the coin sensor, inputs N and D go into the vending machine. - According to the input and current state, the vending machine might send a signal to open the release mechanism. #### Symbolic State Table The symbolic state table defines the transitions between different states based on inputs. | Present State | Inputs | Next State | Output (open) | |---------------|--------|------------|---------------| | 0 ¥ | P | 0 ¥ | 0 | | | N | 0.5 ¥ | 0 | | 0.5 ¥ | D | 1 ¥ | 0 | | | P | 0.5 ¥ | 0 | | 1 ¥ | N | 1.5 ¥ | 0 | | | P | 1 ¥ | 0 | | 1.5 ¥ | N | 2 ¥ | 0 | | | D | 2 ¥ | 0 | | 2 ¥ | P | 2 ¥ | 1 (open) | #### State Transition Diagram The state transition diagram is a visual representation of the state transitions: - **States:** - 0 ¥, 0.5 ¥, 1 ¥, 1.5 ¥, 2 ¥ - **Transitions:** - From **0 ¥**: - Input N transitions to 0.5 ¥ - Input D stays at 0 ¥ - From **0.5 ¥**: - Input N transitions to 1 ¥ - Input
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