The state diagram below represents a Finite Automaton (FA) for input strings that are integers represented as binary. The machine gives the output 0 for integers, which are multiples of 2, and the output 1 for the others. 1. Will the machine accept a set of 12 input string in binary form? Why? 2. What specific state will the machine be at after the 5th transition, if the input string is 10101101? 3. What specific state will the machine be at after the 5th transition, if the input string is 1110010?

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