1. Let = {0, 1} and let = {0, 1, 2, 3, 4, 5, 6, 7, #}. Construct a Mealy machine that considers the input as a binary number and outputs the number in octal format (base 8) with 2 occurrences of # between each octal digit. For example, if the input is 100110, the output is ##4##6. Assume that the length of the input word is always divisible by 3. For example, if the input is 010110, the output is ##2##6.

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