A sequential circuit with one input and one output is used to stretch the first two bits of 4-bit sequence as follows:

After every 4 bits, the circuit resets. Find a Mealy state graph and table for the circuit. The third and fourth bits of the input sequence can be either 1 or 0, so make sure that the circuit will work for all possible combination.

Input 00XX 01XX 10XX 11XX Output 0000 0011 1100 1111