$2.$ Given the decimal number below, find its IEEE $75432-$bit floating point representation.

$(-6\mathrm{.}6875)10=(-110\mathrm{.}1011)2$

$(2\mathrm{.}1)$ Convert the number to binary and write it down below. $(4$ points$)$

$(2\mathrm{.}2)$ Represent the result from $(2\mathrm{.}1)$ in normalized scientific notation in binary and write it down

below. $(2$ points$)$

$(2\mathrm{.}3)$ Based on the result from $(2\mathrm{.}2),$ compute the biased exponent in decimal and write it down

below. $(2$ points$)$

$(2\mathrm{.}4)$ Convert the result from $(2\mathrm{.}3)$ to binary numbers and write it down below. $(4$ points$)$