$(50$ pts$)$ The Hamming weight $($HW$)$ of a binary word is defined as the number of $1s$ that are different from the $0$ also known as the population count or popcount for short. For example, the HW of an $8-$bit binary word $10101100$ is $4($Since$,$ there are four $1$s in the $8-$bit word$).$

a$.(30$ pts$)$ Write an ARM Cortex MO$+$ assembly code to calculate the Hamming weight of a $32-$bit word stored in R$1$ register. Store the HW calculation result in R$0.$ Explain the execution of your code and provide the screen$-$shots that show correct operation.

b$.(20$ pts$)$ Write a C function to perform the same task. Explain the execution of your code and provide the screen$-$shots that show correct operation.