Problem with the adder

I'm having some troubles with the adder that I am trying to understand how they work. I've read the wiki, which doesn't explain adders that well in my opinion. And also used the designs from the wiki. The problem is that I don't get the results that I expected, hehe.

This is the truth table that I'd expect to get.

Inputs			Outputs
A	B	Cin	Cout	S
0	0	0	0	0
1	0	0	0	1
0	1	0	0	1
1	1	0	1	0
0	0	1	0	1
1	0	1	1	0
0	1	1	1	0
1	1	1	1	1

Instead I got something like this when I built the adder myself in the redstonesimulator.

Inputs			Outputs
A	B	Cin	Cout	S
0	0	0	0	0
1	0	0	1	1
0	1	0	0	1
1	1	0	0	0
0	0	1	1	1
1	0	1	1	0
0	1	1	0	0
1	1	1	1	1

Which differes from what I thought on many combinations.