1. a) Define finite automaton. Design a five-state machine which accepts all strings that start and end with the same symbol. b) 1. Construct a DFA that accepts all the strings on (0, 1} except those containing the substring 101. 2. a) Give the formal definition of the following NFA: a 6 a 2 3 b) Construct an NFA that accepts all the strings over (0, 1} containing a 1 in the third position from the end. Use it to construct a DFA accepting the same set of strings.

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