Given a computer with only $5$ decimal digits of precision, find the largest open

interval about $y=16$ so that all real numbers $x$ from the interval are rounded to

$fl(x)=16$ That is$,$ find the smallest value of a and the largest value of $b$ so that

any number $c$ from $(a,b)$ is rounded to the floating point number $fl(x)=16,$ i$.$e$.,$

$fl(c)=16.$ Note: this is not a MATLAB computational problem, it must be

sorted out using the definitions of floating point numbers.