(a) Find the largest open interval about = 16 so all real numbers from the interval are rounded to f = 16. That is, find the smallest value of L and largest value of R with L R so any number from the...

(a) Find the largest open interval about

= 16 so all real numbers from the interval are rounded to


_f

= 16. That is, find the smallest value of
L
and largest value of
R
with
L
<>R
so any number from the interval (L, R) is rounded to the floating-point number


_f

= 16. Assume double precision is used.

(b) Redo part (a) for

= 50, that is, find the interval (L, R) that rounds to the floating-point number