Draw an automaton which will accept all integers as powers of 4, represented in binary form (This problem was done in the class). Now write a code in a high-level language (C++, C# or Java or ??) for the automaton. Create an input file with the following integers, represented in the binary form as separate lines 43,46,2',53, 6* and 9* Use this input file to the code for your automata. Print your code and results. If more convenient, e-mail to your TA