Question: 1. (4 marks) Using the method described in Section 9.1 and in videos of Week 3 (video no. 12) convert the following regular expression into

1. (4 marks) Using the method described in Section 9.1 and

1. (4 marks) Using the method described in Section 9.1 and in videos of Week 3 (video no. 12) convert the following regular expression into a state diagram: (ab*(a + c))* Here the alphabet is = {a,b,c}. Note that the closure operation has highest precedence so ab* denotes strings with one occurrence of a and zero or more occurrences of b. Your answer should indicate how you arrived at the result: As intermediate steps write down the state diagrams that you construct for subex- pressions of the given regular expression, and for each intermediate step clearly indicate which subexpression it corresponds to. Please do not simplify/modify the state diagrams. Simplifications/modifications of the state diagrams are considered as errors when marking (independently of whether or not the state diagram remains equivalent). Please note: The question is marked based on how well you follow the steps of the algorithm of section 9

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