a$.$ Convert $27\mathrm{.}8125$ into IEEE$-754$ number $32-$bit single precision representation. Provide the answer in Hexadecimal. b$.$ i$.$ Carry out the addition $\backslash (27\mathrm{.}8125+13\mathrm{.}5\backslash )$ in IEEE$-754$ single precision arithmetic. Show clearly the steps of exponent alignment and postnormalization for the mantissa. ii$.$ Draw the data flow for floating point addition and subtraction corresponding to the hardware implementation.