O Convert the following NFA's to DFA's. Begin by showing the value of ɛClosure(q) for each state q: (a) а,b a,b a,b a,b (b) 94 b b b qs 1.

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**Conversion of NFA to DFA**

The following diagrams illustrate the conversion of Non-deterministic Finite Automata (NFA) to Deterministic Finite Automata (DFA). The process begins by determining the ε-closure for each state \( q \).

### Diagram Descriptions:

#### Diagram (a):

- **States**: \( q_0, q_1, q_2, q_3, q_4, q_5 \)
- **Transitions**:
  - From \( q_0 \):
    - ε-transition to \( q_1 \)
    - On input '1', transitions to \( q_3 \)
  - From \( q_1 \):
    - On input '0', transitions to \( q_2 \)
    - ε-transition to \( q_4 \)
  - From \( q_2 \):
    - On input '1', transitions to \( q_5 \)
  - From \( q_3 \):
    - On input '0', transitions to \( q_4 \)
  - From \( q_4 \):
    - ε-transition to \( q_5 \)

#### Diagram (b):

- **States**: \( q_0, q_1, q_2, q_3, q_4 \)
- **Transitions**:
  - From \( q_0 \):
    - On inputs 'a' or 'b', transitions to \( q_0 \)
    - On input 'a', transitions to \( q_1 \)
  - From \( q_1 \):
    - On inputs 'a', 'b', transitions to \( q_2 \)
  - From \( q_2 \):
    - On inputs 'a', 'b', transitions to \( q_3 \)
  - From \( q_3 \):
    - On inputs 'a', 'b', transitions to \( q_4 \)

#### Diagram (c):

- **States**: \( q_0, q_1, q_2, q_3, q_4, q_5 \)
- **Transitions**:
  - From \( q_0 \):
    - ε-transition to \( q_1 \)
    - On input 'b', transitions to \( q_3 \)
  - From \( q_1 \):
    - On input 'a', transitions to \( q_4 \)
Transcribed Image Text:**Conversion of NFA to DFA** The following diagrams illustrate the conversion of Non-deterministic Finite Automata (NFA) to Deterministic Finite Automata (DFA). The process begins by determining the ε-closure for each state \( q \). ### Diagram Descriptions: #### Diagram (a): - **States**: \( q_0, q_1, q_2, q_3, q_4, q_5 \) - **Transitions**: - From \( q_0 \): - ε-transition to \( q_1 \) - On input '1', transitions to \( q_3 \) - From \( q_1 \): - On input '0', transitions to \( q_2 \) - ε-transition to \( q_4 \) - From \( q_2 \): - On input '1', transitions to \( q_5 \) - From \( q_3 \): - On input '0', transitions to \( q_4 \) - From \( q_4 \): - ε-transition to \( q_5 \) #### Diagram (b): - **States**: \( q_0, q_1, q_2, q_3, q_4 \) - **Transitions**: - From \( q_0 \): - On inputs 'a' or 'b', transitions to \( q_0 \) - On input 'a', transitions to \( q_1 \) - From \( q_1 \): - On inputs 'a', 'b', transitions to \( q_2 \) - From \( q_2 \): - On inputs 'a', 'b', transitions to \( q_3 \) - From \( q_3 \): - On inputs 'a', 'b', transitions to \( q_4 \) #### Diagram (c): - **States**: \( q_0, q_1, q_2, q_3, q_4, q_5 \) - **Transitions**: - From \( q_0 \): - ε-transition to \( q_1 \) - On input 'b', transitions to \( q_3 \) - From \( q_1 \): - On input 'a', transitions to \( q_4 \)
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