A $24$ bit Floating point representation is given as : $1$ bit as sign, $7$ bits for

exponent and $16$ bits for mantissa

$1.$ How would the following numbers be represented: $+5\mathrm{.}625$ and $-0\mathrm{.}3125$

$2.$ What values are represented by the following floating point numbers

represented in hexadecimal format: $44$F$000$ and BC$4000$

$3.$ What is the range of and precision of this floating point representation