Given the following decimal values for variables a and $b$ :

$a=125{10}^{-3}$

$b=2\mathrm{.}2{10}^3$

Instructions:

Convert the decimal values of a and $b$ into their IEEE $754$ standard binary

representation for double$-$precision floating$-$point format.

Execute the addition operation using the instruction add.d $$f2,$$$f4,$$$f6,$

where:

Register $$f4$ contains the value of a$.$

Register $$f6$ contains the value of $b.$

After performing the addition, provide the binary representation of the

result stored in register $$f2$ according to the IEEE $754$ standard for double$-$

precision floating$-$point numbers.