What is the product of a $16-$bit and a $32-$bit number? Correct answers must be general, i$.$e$.$ be valid no matter what the two numbers are.

Select the smallest integer n that makes the following true: the product of a $16-$bit and a $32-$bit number is always an n$-$bit number.

Group of answer choices

n$=32$

n$=33$

n$=48$

n$=512$