Question: Please answer the full question. (a) (5 points] Draw a FA for the language of the RE a* + (ab)* (b) [5 points] Draw a

Please answer the full question. (a) (5 points] Draw a FA

Please answer the full question.

(a) (5 points] Draw a FA for the language of the RE a* + (ab)* (b) [5 points] Draw a FA for the set of the strings with alphabet {a,b,c} that have a substring of length 3 containing each of the symbols. (c) (10 points] Using the subset construction algorithm convert the following NFA into an equivalent DFA. Clearly indicate the DFA and its transition table. In addition, convert the NFA into its equivalent RE. 0,1 B E 0 D A 1

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