Two floating point numbers are added to form a floating$-$point sum:

$($F$1$ x $2$F$1)+($F$2$ x $2=2)=$ F x $2$E

Assume that F$,$ and F$2$ are normalised and that the result should be normalised.

$(*$Illustrate the steps required to carry out floating$-$point addition

for F$1=1\mathrm{.}0101,1=1001$ and F$2=0\mathrm{.}1010,$ E$2=1000.$ Note

that the fractions are $5$ bits, including sign, and the exponents are $4$ bits, including sign.

$($ii$)$ Verify the result of the addition in part b$)($i$).$