The input of the DFA is a string and output is “accepted" or "rejected". DFA accepts or rejects a string when it reads the final symbol in the string.

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Chapter1: Introduction
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The input of the DFA is a string and output is “accepted" or "rejected". DFA accepts or rejects a string when it reads the final symbol in the string.

The image presents a deterministic finite automaton (DFA) diagram labeled "For DFA."

### Diagram Explanation:

- **States**:
  - A total of six states are labeled as A, B, C, D, E, and F.
  - Each state is represented by a circle.
  - State A is the initial state, as indicated by the incoming arrow without any originating state.

- **Transitions**:
  - Transitions between states are indicated by directed arrows. Each arrow is labeled with conditions for transition, noted as ranges or specific numbers such as (0, 1, ..., 9). 
  - The combination of labeled arrows and states depicts the possible paths within the DFA.

- **State B, C**:
  - Indicates an equivalence or grouping of states B and C.
  - Transition to states B or C from A occurs if input is any digit from 0 to 9.
  - There is a loop on states B, C, allowing transitions within itself for inputs 0 to 9.

- **State D**:
  - Incoming transitions labeled with specific symbols (+, ^, Ø) from states B and C.
  - Outgoing transition to state E for inputs 0 to 9 and outward transitions for +, ^, Ø.

- **State E**:
  - Transition from D to E for inputs 0 to 9.
  - Loop back to itself for inputs 0, 1, 2, ..., 9.
  - Transition back to states B, C for inputs Ø.
  - Additional transitions to F from E.

- **State F**:
  - Loop back to itself for the transition input labeled (+, Ø, 0) and (0, 1, 2, ..., 9).
  - Additional outgoing transitions to other states.

This DFA offers insights into computations through the states based on defined transition inputs, illustrating pathways that a given sequence of inputs might follow.
Transcribed Image Text:The image presents a deterministic finite automaton (DFA) diagram labeled "For DFA." ### Diagram Explanation: - **States**: - A total of six states are labeled as A, B, C, D, E, and F. - Each state is represented by a circle. - State A is the initial state, as indicated by the incoming arrow without any originating state. - **Transitions**: - Transitions between states are indicated by directed arrows. Each arrow is labeled with conditions for transition, noted as ranges or specific numbers such as (0, 1, ..., 9). - The combination of labeled arrows and states depicts the possible paths within the DFA. - **State B, C**: - Indicates an equivalence or grouping of states B and C. - Transition to states B or C from A occurs if input is any digit from 0 to 9. - There is a loop on states B, C, allowing transitions within itself for inputs 0 to 9. - **State D**: - Incoming transitions labeled with specific symbols (+, ^, Ø) from states B and C. - Outgoing transition to state E for inputs 0 to 9 and outward transitions for +, ^, Ø. - **State E**: - Transition from D to E for inputs 0 to 9. - Loop back to itself for inputs 0, 1, 2, ..., 9. - Transition back to states B, C for inputs Ø. - Additional transitions to F from E. - **State F**: - Loop back to itself for the transition input labeled (+, Ø, 0) and (0, 1, 2, ..., 9). - Additional outgoing transitions to other states. This DFA offers insights into computations through the states based on defined transition inputs, illustrating pathways that a given sequence of inputs might follow.
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