1.a) Using a Cross Product method, construct a minimal DFA of w ∑ (a, b) *, where Number of 'a' in a string w mod 2=0 and number of 'b' in a string w mod 2=0  b) Using Expression "position=initial + rate *70', briefly explain the compilation stages and show how each phase will translate the expression.  c)Construct the NFA that will accept the string of abc|abd  d)Construct a grammar which accept 'a' string starting with a and ending with 'b'   i.Construct a parse tree for the above grammar in b)

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