Problem $2(25$ points$)$

Using single$-$cycle processor $($Figure $1)$ and the given program below,

$($a$)$ Write out the machine codes for both instructions in binary and hexadecimal

$($b$)$ Draw the data path for the final instruction $($and$).$ Indicate the input values going throug each element and the control values at each multiplexer in Figure $1.$

$($c$)$ Provide the final value of register x $3.$

Assume that:

$1.$ The instruction address begins at $\backslash (0\backslash$times $1000\backslash )$

$2.$ The value in register $\backslash ($ x $5\backslash )$ is $10$

$3.$ The value in register x $8$ is $\backslash (0\backslash$times $2000\backslash )$

$4.$ Data value at address $\backslash (0\backslash$times $2004\backslash )$ is $5$