Given an array of $2$ integers, write a MIPS program to implement some ALU operations and store the results back to memory. The C code below shows how the elements are appended to the array:

$//$ Declaration of variables

int$*$ A; $//$ Integer array A with the base address pointing to variable A

int a; char b$,$ c; short d;

$//$ Append array elements

$\{$ A$[2],$ A$[4]\}=$ A$[1]*$ A$[0]$; $//\{\}=$ concatenation $/$ append. $64-$bit product should be stored in Array

A$[5]=$ A$[4]/230$;

a $=$ A$[4]\%230$;

b $=$ a $>>16$; $//\text{'}>>\text{'}=$ right shift

c $=($a & $0$b$\text{'}1000)|($b $|0$b$\text{'}0011)$; $//\text{'}$&$\text{'}=$ bit$-$wise and

d $=$ a $<<2$; $//\text{'}<<\text{'}=$ left shift

A$[6]=\{$b$,$ c$,$ d$\}$; $//\{\}=$ concatenation $/$ append. Use Memory Operations $($identify the correct address to place, c and d in Array$)$

A$[3]=($A$[0]+$ A$[1]-100)-($A$[2]+$ A$[4]-$ A$[5])$;

Registers Variables

$s$0$ A

Addresses Contents

$s$0$ A$[0]$

$s$0+4$ A$[1]$

You may use any temporary registers from $t$0$ to $t$9$ or saved registers from $s$1$ to $s$7.$ Clearly specify your choice of registers and explain your code using comments $(1$ points$).$

Example Test: If the value of $s$0$ and Memory are initialized in the simulator as below: $($Use the $\text{'}+\text{'}$ button under the Registers display to initialize register values for $s$0$ and the $\text{'}+\text{'}$ button under the Memory display to initialize the first two array elements. $)$

Registers Data

$s$08016$

Addresses Contents

$8016-5$

$80208$

The resultant array is:

Addresses Contents

$8016-5$

$80208$

$80247$

$8028-64$

$8032-40$

$80360$

$8040-160$