Assume the simple floating point model used in the slides $($i$.$e$.,14-$bits of storage$)$

a$.$ How would we represent the numbers $114\mathrm{.}3125$ and $-0\mathrm{.}1?$

b$.$ Add the two numbers together. Show the calculation and the final format of

the result.

Show how each of the following floating point values would be stored using IEEE$-754$

single precision data types.

a$.-24\mathrm{.}03125$

b$.0\mathrm{.}4375$

PLEASE PROPERLY SHOW THE WORK