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**Perform the following operations involving eight-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Check your answers by converting to decimal sign and magnitude representation.**

a) 00110110

+ 01000101

_____________

How do I solve this? I know that these are both positive because they start with 0.

I also know that;

0 + 0 = 00

0 + 1 = 01

1 + 0 = 01

1 + 1 = 10

so I know how to add those together

*BUT*I don't understand how to add the "carry-outs" like if I have:

01

+01

____

would I say

1 + 1 = 0 , carry the 1. Then say 0 + 0 = 00 + 1 = ? 001? I'm just confused on how we evaluate the numbers with the carry outs for this particular problem. Also, suppose I have an eight bit number and one is unsigned or -? (Starts with a 1). How will the solving process then change? I can't find any good examples on google, and my book is disorganized and all over the place with terrible examples that don't clarify anything, or show any steps. If anyone can point me in the direction of a good explanation or can explain that would be great.