Could you assist me with tackling this challenge, particularly in section 1.10 part B? I'm finding it quite challenging, and I've attached both Exercise 1.6B and the required theorem for reference. To answer the questions in 1.10 part B, Exercise 1.6B is crucial. I've also included the theorem needed for your convenience. If possible, could you create a visual representation, like a state diagram, to help me better grasp the concept?I have attract the theorem 1.49 to help you answer the question1.10 Question:1.10 Utilize the approach outlined in the proof of Theorem 1.49 to generate state diagrams for NFAs that recognize the star of the languages described ina. Exercise 1.6jExercise 1.6j:1.6 Provide state diagrams of DFAs recognizing the following languages. The alphabet for all parts is {0,1}.j. {w| w contains at least two 0s and at most one 1} THEOREM1.49The class of regular languages is closed under the star operation.PROOF IDEA We have a regular language A₁ and want to prove that A₁ alsois regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown inthe following figure. The resulting NFA N will accept its input whenever it canbe broken into several pieces and N₁ accepts each piece.We can construct N like N₁ with additional e arrows returning to the startstate from the accept states. This way, when processing gets to the end of a piecethat N₁ accepts, the machine N has the option of jumping back to the start stateto try to read another piece that N₁ accepts. In addition, we must modify Nso that it accepts e, which always is a member of A. One (slightly bad) idea issimply to add the start state to the set of accept states. This approach certainlyadds e to the recognized language, but it may also add other, undesired strings.Exercise 1.15 asks for an example of the failure of this idea. The way to fix it isto add a new start state, which also is an accept state, and which has an e arrowto the old start state. This solution has the desired effect of addinge to thelanguage without adding anything else.N₁OORANG OROODDRE UNA BORGO DO ONASION 300 000ON€O

In exercise 1.6j, we are tasked with providing state diagrams of deterministic finite automata…

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Could you assist me with tackling this challenge, particularly in section 1.10 part B? I'm finding it quite challenging, and I've attached both Exercise 1.6B and the required theorem for reference. To answer the questions in 1.10 part B, Exercise 1.6B is crucial. I've also included the theorem needed for your convenience. If possible, could you create a visual representation, like a state diagram, to help me better grasp the concept?

I have attract the theorem 1.49 to help you answer the question

1.10 Question:
1.10 Utilize the approach outlined in the proof of Theorem 1.49 to generate state diagrams for NFAs that recognize the star of the languages described in

a. Exercise 1.6j

Exercise 1.6j:
1.6 Provide state diagrams of DFAs recognizing the following languages. The alphabet for all parts is {0,1}.

j. {w| w contains at least two 0s and at most one 1}

THEOREM
1.49
The class of regular languages is closed under the star operation.
PROOF IDEA We have a regular language A₁ and want to prove that A₁ also
is regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown in
the following figure. The resulting NFA N will accept its input whenever it can
be broken into several pieces and N₁ accepts each piece.
We can construct N like N₁ with additional e arrows returning to the start
state from the accept states. This way, when processing gets to the end of a piece
that N₁ accepts, the machine N has the option of jumping back to the start state
to try to read another piece that N₁ accepts. In addition, we must modify N
so that it accepts e, which always is a member of A. One (slightly bad) idea is
simply to add the start state to the set of accept states. This approach certainly
adds e to the recognized language, but it may also add other, undesired strings.
Exercise 1.15 asks for an example of the failure of this idea. The way to fix it is
to add a new start state, which also is an accept state, and which has an e arrow
to the old start state. This solution has the desired effect of addinge to the
language without adding anything else.
N₁
O
ORANG OROODDRE UNA BORGO DO ONASION 300 000
O
N
€
O

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