Linear Feedback Shift Register $($LFSR$)($a$)$ Draw the LFSR corresponding to the polynomial: $\backslash ($ x$^\{8\}+$x$^\{4\}+$x$^\{2\}+$x$+1\backslash ),$ and compute the first two output bytes of the LFSR from the initialization vector D$7($hex$).($b$)$ Draw the LFSR corresponding to the polynomial: $\backslash ($ x$^\{4\}+$x$^\{2\}+$x$+1\backslash ),$ and determien whether the LFSR is primitive, irreducible, or reducible.