What is the product of two $8-$bit numbers? Correct answers must be general, i$.$e$.$ be valid no matter what the two $8-$bit numbers are.

Select the smallest integer n that makes the following true: the product of two $8-$bit numbers is always an n$-$bit number.

Group of answer choices

n$=8$

n$=9$

n$=16$

n$=64$