a$)$ A floating$-$point arithmetic unit uses the standard format for representing single$-$

precision binary numbers such that the MSB is the sign bit, followed by a byte

representing a biased exponent and the remaining $23-$bits for the mantissa.

i$.$ Convert the following decimal number to a binary number suitable for

operations in the above floating$-$point unit: $5\mathrm{.}32{10}^5$

$(5$ marks$)$

ii$.$ Determine the binary value of the following floating$-$point binary number:

$11000000101001001110001000000000$

$(5$ marks$)$