A digital image given on the right has a size of $190156$ pixels and

$8-$bits are used to represent the intensity value of each pixel.

a$.$ Give the names of two different up$-$sampling methods to increase the image size

to $576468$ pixels. Which method do you prefer to obtain the enlarged image

considering that the original image contains fine details such as small letters and

thin lines?

b$.$ Give a simple arithmetic operation $($or formula$)$ to reduce the number of intensity

levels in the enlarged in $($a$)$ to $16($i$.$e$.$ requantization from $256$ levels to $16$ levels,

but no change in spatial resolution$).$ After requantization of the enlarged image,

find the total number of bits to store this final image in a computer memory.