Zooming and Shrinking Images by Pixel Replication

$($a$)$ Write a computer program capable of zooming and shrinking an image by pixel replication. Assume that the desired zoom$/$shrink factors are integers.$$

$($b$)$ Download Fig. $2\mathrm{.}20($a$)$ from the book web site and use your program to shrink the image by a factor of $10.$

$($c$)$ Use your program to zoom the image in $($b$)$ back to the resolution of the original.$$ Explain the reasons for their differences.