a$.$ Convert $27\mathrm{.}8125$ into IEI:E$-754$ number $12-$bit single precision

representation. Provide the answer in Ilexadecimal

h$.$

i$.$ Carry out the addition $27\mathrm{.}8125+13\mathrm{.}5$ in IEEE$-754$ single precision

arithmetic. Show clearly the steps of exponent alignment and post$-$

nomalization for the mantissa.

i$1.$ Draw the data flow for floating point addition and subtraction

corresponding to the hardware implementation.