Question $4$: $[20$ points$]$

Note: BRNE takes $2$ machine cycles $($or $1$ if not branching$)$ and all other instructions take $1$ machine cycle each to execute.

a$)$ Write an assembly language program to repeat the following four instructions $200$ times:

pts$]$

ADD R$30,$ R$31$

NOP

INC R$31$

NOP

b$)$ Calculate accurately the number of machine cycles consumed by the code written in part $($a$).[4$ pts$]$

c$)$ Modify the code written in part $($a$)$ to repeat the given instructions $50000$ times. $6pts$

d$)$ Calculate accurately the number of machine cycles consumed by the code in part $($c$).[6$ pts$]$