**A** Consider the following deterministic finite automaton that accepts the language\[ L_2 = \{ w \mid w \text{ contains 11 as a substring or ends with the string 1} \} \]over the input alphabet $\Sigma = \{0, 1\}$.![Finite Automaton Diagram](diagram link here)1. Draw the state diagram of a single tape deterministic Turing machine that also accepts the language $L_2$.2. Explain why your Turing machine is a decider and not a recognizer.**B** In several sentences, explain why the collection of regular languages are a subset of the Turing-decidable languages. Pay attention to your notation and be sure not to confuse languages and machines.**Diagram Explanation:**- The diagram includes three states: $Q_0$, $Q_1$, and $Q_2$.- **State $Q_0$:** The initial state, with a loop on input '0' and a transition to $Q_1$ on input '1'.- **State $Q_1$:** Has a transition back to $Q_0$ on input '0' and a transition to $Q_2$ on input '1'.- **State $Q_2$:** An accepting state with loops on inputs '0' and '1', indicating acceptance if reached.This automaton accepts strings that contain "11" or end with "1".

In the theoretical computer science, finite automata and Turing machines play pivotal roles in…

A Consider the following deterministic finite automaton that accepts the language L2 = {w \w contains 11 as a substring or ends with the string 1} over the input alphabet Σ = {0,1}. 0 0,1 Q2 0 1. Draw the state diagram of a single tape deterministic Turing machine that also accepts the language L 2. Explain why your Turing machine is a decider and not a recognizer.

A Consider the following deterministic finite automaton that accepts the language L2 = {w \w contains 11 as a substring or ends with the string 1} over the input alphabet Σ = {0,1}. 0 0,1 Q2 0 1. Draw the state diagram of a single tape deterministic Turing machine that also accepts the language L 2. Explain why your Turing machine is a decider and not a recognizer.

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Question

**A** Consider the following deterministic finite automaton that accepts the language

\[ L_2 = \{ w \mid w \text{ contains 11 as a substring or ends with the string 1} \} \]

over the input alphabet $\Sigma = \{0, 1\}$.

![Finite Automaton Diagram](diagram link here)

1. Draw the state diagram of a single tape deterministic Turing machine that also accepts the language $L_2$.
2. Explain why your Turing machine is a decider and not a recognizer.

**B** In several sentences, explain why the collection of regular languages are a subset of the Turing-decidable languages. Pay attention to your notation and be sure not to confuse languages and machines.

**Diagram Explanation:**

- The diagram includes three states: $Q_0$, $Q_1$, and $Q_2$.
- **State $Q_0$:** The initial state, with a loop on input '0' and a transition to $Q_1$ on input '1'.
- **State $Q_1$:** Has a transition back to $Q_0$ on input '0' and a transition to $Q_2$ on input '1'.
- **State $Q_2$:** An accepting state with loops on inputs '0' and '1', indicating acceptance if reached.

This automaton accepts strings that contain "11" or end with "1".

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