$1.$ Do the following.

$($a$)$ Provide a URM program that computes the function $\backslash ($ f$($x$)=$x $\backslash$bmod $3\backslash ).$ Provide a paragraph that describes how it works, including mention of the purpose of each register. $(10$ pts $)$

$($b$)$ Compute the G$$del number of your program from part a$.$ Show work. $(10$ pts $)$ Bonus Points: Evaluate the power$-$of$-$two expansion to obtain a final integer answer. You'll likely need to use an online "big number" calculator for this.