Assembly $-$ FP Operations

The Taylor series expansions for ex is given by:

ex $=1+$ x $+$ x$2$

$2!+$ x$3$

$3!+$ x$4$

$4!+$ x$5$

$5!+...=$

$\backslash$infty X

n$=0$

xn

n$!.$

We can use the first few terms of this series to get an approximate value for ex$.$ For

example, by picking N terms in the above equation, we get the following expression:

ex $$

NX

n$=0$

xn

n$!.$

In this question, you are asked to implement a MIPS assembly program that computes

an approximation of ex for N $=3,$ i$.$e$.$ ex $1+$ x $+$ x$2$

$2!+$ x$3$

$3!.$

$$ Your program should receive the value of x as input and return the approximation

of ex as output.

$$ You should read x from the command lines as a floating point number and print the

output ex as a floating point number.

$$ To compute the approximation equation you should use floating$-$point instructions

and registers.

$$ You do not need to use a factorial function. It is only necessary to compute $2!$ and

$3!$ for this question.

$5$