write my assignment 8640

PROBLEM 1 (7 marks) Consider the NFA M in Fig. 1. Construct an equivalent DFA using exactly the Subset Construction method taught in the lectures (no other method will be accepted).

PROBLEM 2 (5 marks) Draw the state diagram of a DFA accepting all binary words that are not in the language (10 + 110) .

PROBLEM 3 (4 marks) Consider the method M to M “, shown in the lectures, which con-structs the -NFA M accepting (L(M)) , for any given -NFA M.

1. Use that method to construct M when given the NFA M in Fig 1 (no other method will be accepted).

2. Use that method as a guide to describe a method that constructs a -NFA M+ accepting the language (L(M))+, when given any -NFA M.

PROBLEM 4 (10 marks) Convert the regular expression (0 + 10) (1 ) to an equivalent -NFA, using the structural induction method shown in the lectures (no other method will be accepted). Show all steps of the structural induction.