I$(40$ points$)$ Suppose we have a machine that takes in an infinite stream of bits, one bit at a time. On every input, the machine will output $0,$ unless the machine has seen the pattern $1011$ in the last four inputs where it will instead output $1.$ Below is an example of this behavior. Input: $010110101100101101011101010...$ Output: $000010000100000100001000000...3$a$.$ Design$/$Draw an FSM that exhibits the behavior described above.