Convert all of the following regular expressions to DFAs.

1: a(a | b)*b

2: (a | b)* a (a | b)* a (a | b)*

3: b(abab* )*

4: a? (a?b⁺)*a?

5: (a + b)*(aa + ba + bb) + a + 1

6: ^ ([a-zA-Z]+)@([0-9]+)$