$1.(50$ pts $)$ The Hamming weight $($HW$)$ of a binary word is defined as the number of $1$ s 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 M$3$ assembly code to calculate the Hamming weight of $\backslash (10\backslash$times $32\backslash )-$bit words stored in a memory array with starting address stored in the R$1$ register. Store the calculated HW result in RO$.$ Explain the execution of your code and provide the screen$-$shots that show correct operation. You can use any $10$ random numbers stored in the memory array.

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.

$2.(50$ pts$)$ The Hamming distance $($HD$)$ between two binary words $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ are defined as the hamming weight of the bit positions in which the words differ. For example, the Hamming distance between $\backslash (\backslash$mathrm$\{$A$\}=\backslash )10110101$ and $\backslash ($ B$=11001111\backslash )$ is HD $=5($Since$,$ two words are different at bit positions $\backslash (6,5,4,3,1\backslash )$ total making $\backslash (\backslash$mathrm$\{$HD$\}=5\backslash )).$

a$.(30$ pts$)$ Write an ARM Cortex MO$+$ assembly code to calculate the Hamming distance between two $32-$bit words stored in R$1$ and R$2$ registers. Store the HD calculation result in RO$.$ 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.