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Conversion of RE (0+1)*.0.1 to ε-NFA | Thompson’s Construction Step-by-Step | Automata Theory

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In this Automata Theory tutorial, we solve a complete example of converting a Regular Expression into an ε-NFA (Epsilon NFA) using Thompson’s Construction Method.

The regular expression covered in this video is:
(0+1)*.0.1

This is a very important type of problem frequently asked in GATE CSE, UGC NET, university exams, and Theory of Computation tests.

We begin by understanding the structure of the regular expression and breaking it into smaller parts based on operator precedence. Then, step by step, we construct ε-NFA fragments for:

• Union (0+1)
• Kleene Star ( )*
• Concatenation with 0
• Final concatenation with 1

After building individual components, we combine them using Thompson’s rules and clearly explain every ε-transition and state connection. By the end of the video, you’ll know exactly how complex regular expressions are converted into ε-NFAs without confusion.

This video is perfect for students learning Formal Languages, Automata Theory, Compiler Design, and those preparing for competitive exams and technical interviews.

Watch till the end to avoid common mistakes students make while handling Kleene star and concatenation together.

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