Adding numbers in binary

In this lab, our objective is to write functions that can add numbers in binary. Binary addition is normally

performed by adder circuits within the ALU $($a subsystem of the CPU$).$ In this lab, we will emulate the behavior

of the ALU by using a function that adds numbers.

$1)$ Write a function addnumbers$($a$,$b$)$ that adds two binary numbers a and b stored on $8$ bits, and that

returns the output in binary on $9$ bits.

$2)$ What could happen if the output was stored on $8$ bits? Give an example

Hints:

$1)$ use strings $($numbers between quotes$)$ to define a and b$,$ so you can manipulate them more easily

$2)$ Rules of binary addition:

$3)$ Example addition in binary:

$4)$ Remember that a and b may not have the same number of digits, and that c can have more digits than

a or b $($see above example for instance$)$