There are two normalized binary numbers

$1\mathrm{.}001$two x $22$ and $1\mathrm{.}01000000000000000000011$two x $21$

I. Represent these numbers in the IEEE $754$ single precision floating point format

II$.$ Show all steps necessary to add these two numbers in the IEEE $754$ single precision floating point format

a$)$ with guard, round, and sticky bits using rounding to nearest even

b $)$ without guard, round, and sticky bits using a truncation mode of rounding