What is a Finite Automata?  For the given alphabet {a, b}, design a finite automata which accept any number of b’s followed by a single a (e.g., ba, bba, bbba, etc.). Neatly describe the initial state, accepting state, and transitions, if any.  2. What are the key differences between DFA and NFA?  3. Write a regular expression for a binary string (e.g., 0, 1, 01, 00, 11, 0101).

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1. What is a Finite Automata? 
For the given alphabet {a, b}, design a finite automata which accept any number of b’s followed by a
single a (e.g., ba, bba, bbba, etc.). Neatly describe the initial state, accepting state, and transitions,
if any. 
2. What are the key differences between DFA and NFA? 
3. Write a regular expression for a binary string (e.g., 0, 1, 01, 00, 11, 0101). 
Also, design a NFA for it. Clearly describe the ε transitions. 

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