DFA for the given regular expressions

Question

1. (aa*)b
2. (abab)+(aaa+b)*

Answer 1

DFA for L((aa*)b) is 

DFA for L((abab+(aaa+b)*) is 

Comments

Here bbabab is accepted according to DFA but not Regular Xpression(2^nd case).

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sunil sarode  see * on (aaa+b) .The minimum string should be 0 here.not abab.

Answer 2

L(aa*)b

it isnot possible to draw the picture here the transition functions are as follows for above L

D(A,a)=(B)

D(B,a)= (B)

D(B,b)= C (final state)

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