but there are three two's?
There are three figure twos that you can see, yes.
2^0+2^2
Remember I already explained that the up arrow ^ means "to the power of". If you don't know what that means, you have some studying to do before you can deal with binary arithmetic.
If you read it out loud, it says "two to the power of zero plus two to the power of two".
Two to the power of zero equals
one.
Two to the power of two equals
four.
Four plus one equals
five.
I think I can tell you are having a hard time understanding all this. I suggest you do the following:
1. Get a good math or computer science book that deals with binary arithmetic.
2. talk to your teacher.
Forums like this are not the best way to tackle this sort of learning project.