Given an LFSR $($Linear Feedback Shift Register$)$ of degree m $=4$ and the feedback path $(1+$x$+$x$2+$x$3+$x$4),$ what$$s the period of the output sequence? What are the outputs $($start with $[1,1,1,1])?$ Draw the LFSR and show the bits in each gate$/$box$.$