Design a mixed assembler$/$C program with the following functionality. The assembler code starts the application and allocates an array of floating point numbers x$1,$ x$2,...,$ xn in ROM $($your choice of at least $5$ numbers$).$ This array and its length must be passed to a C function deviation$()$ that returns the standard deviation s of the numbers computed by the following formula

where x$$ is the average of x$1,$ x$2,...,$ xn$.$ The return value of the function must be copied by the assembly code into a variable s allocated in RAM and displayed in terminal window.

$$

Do not use any C library for the square root. Compute it by using Newton$-$Raphson algorithm.

The algorithm takes a positive real number a and accuracy e from the user's terminal input and computes the square root of a according to the following pseudocode:

$1.$ Initialize x$\_$new $=$ a $2.$ do x$\_$old $=$ x$\_$new; x$\_$new $=($x$\_$old $+$ a $/$ x$\_$old$)/2$; while $|$x$\_$old $-$ x$\_$new$|/$x$\_$new $>$ e

Note that floating point values are returned from C functions in the S$0$ register.