As far as we can workout from the circuit diagram you provided on the wiki it doesn't translate to the logic diagram, as some of the or gates for the output are interconnected in the circuit diagram between the and gating and the or gating.
After redoing the circuit into a set of formula's we came up with the following truth table.
Inputs | Outputs
6 8 | 10 14 | 15 18 | A B E F
====+=======+=======+========
0 0 | 0 0 | 0 0 | 0 0 0 0
1 0 | 0 0 | 0 0 | 0 0 0 0
0 1 | 0 0 | 0 0 | 0 0 0 0
1 1 | 0 0 | 0 0 | 0 1 1 1
0 0 | 1 0 | 0 0 | 0 0 0 0
1 0 | 1 0 | 0 0 | 0 0 0 0
0 1 | 1 0 | 0 0 | 0 0 0 0
1 1 | 1 0 | 0 0 | 0 0 1 1
0 0 | 0 1 | 0 0 | 0 0 0 0
1 0 | 0 1 | 0 0 | 0 0 0 0
0 1 | 0 1 | 0 0 | 0 0 0 0
1 1 | 0 1 | 0 0 | 0 1 0 1
0 0 | 1 1 | 0 0 | 0 0 0 0
1 0 | 1 1 | 0 0 | 0 0 0 0
0 1 | 1 1 | 0 0 | 0 0 0 0
1 1 | 1 1 | 0 0 | 0 0 0 0
0 0 | 0 0 | 1 0 | 0 0 0 0
1 0 | 0 0 | 1 0 | 0 0 0 0
0 1 | 0 0 | 1 0 | 1 1 1 1
1 1 | 0 0 | 1 0 | 1 1 1 1
0 0 | 1 0 | 1 0 | 0 0 0 0
1 0 | 1 0 | 1 0 | 0 0 0 0
0 1 | 1 0 | 1 0 | 1 1 0 0
1 1 | 1 0 | 1 0 | 1 1 1 1
0 0 | 0 1 | 1 0 | 0 0 0 0
1 0 | 0 1 | 1 0 | 0 0 0 0
0 1 | 0 1 | 1 0 | 0 0 1 1
1 1 | 0 1 | 1 0 | 0 1 1 1
0 0 | 1 1 | 1 0 | 0 0 0 0
1 0 | 1 1 | 1 0 | 0 0 0 0
0 1 | 1 1 | 1 0 | 0 0 0 0
1 1 | 1 1 | 1 0 | 0 0 0 0
0 0 | 0 0 | 0 1 | 0 0 0 0
1 0 | 0 0 | 0 1 | 1 1 1 1
0 1 | 0 0 | 0 1 | 0 0 0 0
1 1 | 0 0 | 0 1 | 1 1 1 1
0 0 | 1 0 | 0 1 | 0 0 0 0
1 0 | 1 0 | 0 1 | 1 1 1 1
0 1 | 1 0 | 0 1 | 0 0 0 0
1 1 | 1 0 | 0 1 | 1 1 1 1
0 0 | 0 1 | 0 1 | 0 0 0 0
1 0 | 0 1 | 0 1 | 0 0 1 1
0 1 | 0 1 | 0 1 | 0 0 0 0
1 1 | 0 1 | 0 1 | 0 1 1 1
0 0 | 1 1 | 0 1 | 0 0 0 0
1 0 | 1 1 | 0 1 | 0 0 1 1
0 1 | 1 1 | 0 1 | 0 0 0 0
1 1 | 1 1 | 0 1 | 0 0 1 1
0 0 | 0 0 | 1 1 | 1 0 1 0
1 0 | 0 0 | 1 1 | 1 1 1 1
0 1 | 0 0 | 1 1 | 1 1 1 1
1 1 | 0 0 | 1 1 | 1 1 1 1
0 0 | 1 0 | 1 1 | 1 0 1 0
1 0 | 1 0 | 1 1 | 1 1 1 1
0 1 | 1 0 | 1 1 | 1 1 1 0
1 1 | 1 0 | 1 1 | 1 1 1 1
0 0 | 0 1 | 1 1 | 0 0 0 0
1 0 | 0 1 | 1 1 | 0 0 1 1
0 1 | 0 1 | 1 1 | 0 0 1 1
1 1 | 0 1 | 1 1 | 0 1 1 1
0 0 | 1 1 | 1 1 | 0 0 0 0
1 0 | 1 1 | 1 1 | 0 0 1 1
0 1 | 1 1 | 1 1 | 0 0 0 0
1 1 | 1 1 | 1 1 | 0 0 1 1
LogicSim file and image attached
FullAdder.zip
As far as we can workout from the circuit diagram you provided on the wiki it doesn't translate to the logic diagram, as some of the or gates for the output are interconnected in the circuit diagram between the and gating and the or gating.
After redoing the circuit into a set of formula's we came up with the following truth table.
Inputs | Outputs
6 8 | 10 14 | 15 18 | A B E F
====+=======+=======+========
0 0 | 0 0 | 0 0 | 0 0 0 0
1 0 | 0 0 | 0 0 | 0 0 0 0
0 1 | 0 0 | 0 0 | 0 0 0 0
1 1 | 0 0 | 0 0 | 0 1 1 1
0 0 | 1 0 | 0 0 | 0 0 0 0
1 0 | 1 0 | 0 0 | 0 0 0 0
0 1 | 1 0 | 0 0 | 0 0 0 0
1 1 | 1 0 | 0 0 | 0 0 1 1
0 0 | 0 1 | 0 0 | 0 0 0 0
1 0 | 0 1 | 0 0 | 0 0 0 0
0 1 | 0 1 | 0 0 | 0 0 0 0
1 1 | 0 1 | 0 0 | 0 1 0 1
0 0 | 1 1 | 0 0 | 0 0 0 0
1 0 | 1 1 | 0 0 | 0 0 0 0
0 1 | 1 1 | 0 0 | 0 0 0 0
1 1 | 1 1 | 0 0 | 0 0 0 0
0 0 | 0 0 | 1 0 | 0 0 0 0
1 0 | 0 0 | 1 0 | 0 0 0 0
0 1 | 0 0 | 1 0 | 1 1 1 1
1 1 | 0 0 | 1 0 | 1 1 1 1
0 0 | 1 0 | 1 0 | 0 0 0 0
1 0 | 1 0 | 1 0 | 0 0 0 0
0 1 | 1 0 | 1 0 | 1 1 0 0
1 1 | 1 0 | 1 0 | 1 1 1 1
0 0 | 0 1 | 1 0 | 0 0 0 0
1 0 | 0 1 | 1 0 | 0 0 0 0
0 1 | 0 1 | 1 0 | 0 0 1 1
1 1 | 0 1 | 1 0 | 0 1 1 1
0 0 | 1 1 | 1 0 | 0 0 0 0
1 0 | 1 1 | 1 0 | 0 0 0 0
0 1 | 1 1 | 1 0 | 0 0 0 0
1 1 | 1 1 | 1 0 | 0 0 0 0
0 0 | 0 0 | 0 1 | 0 0 0 0
1 0 | 0 0 | 0 1 | 1 1 1 1
0 1 | 0 0 | 0 1 | 0 0 0 0
1 1 | 0 0 | 0 1 | 1 1 1 1
0 0 | 1 0 | 0 1 | 0 0 0 0
1 0 | 1 0 | 0 1 | 1 1 1 1
0 1 | 1 0 | 0 1 | 0 0 0 0
1 1 | 1 0 | 0 1 | 1 1 1 1
0 0 | 0 1 | 0 1 | 0 0 0 0
1 0 | 0 1 | 0 1 | 0 0 1 1
0 1 | 0 1 | 0 1 | 0 0 0 0
1 1 | 0 1 | 0 1 | 0 1 1 1
0 0 | 1 1 | 0 1 | 0 0 0 0
1 0 | 1 1 | 0 1 | 0 0 1 1
0 1 | 1 1 | 0 1 | 0 0 0 0
1 1 | 1 1 | 0 1 | 0 0 1 1
0 0 | 0 0 | 1 1 | 1 0 1 0
1 0 | 0 0 | 1 1 | 1 1 1 1
0 1 | 0 0 | 1 1 | 1 1 1 1
1 1 | 0 0 | 1 1 | 1 1 1 1
0 0 | 1 0 | 1 1 | 1 0 1 0
1 0 | 1 0 | 1 1 | 1 1 1 1
0 1 | 1 0 | 1 1 | 1 1 1 0
1 1 | 1 0 | 1 1 | 1 1 1 1
0 0 | 0 1 | 1 1 | 0 0 0 0
1 0 | 0 1 | 1 1 | 0 0 1 1
0 1 | 0 1 | 1 1 | 0 0 1 1
1 1 | 0 1 | 1 1 | 0 1 1 1
0 0 | 1 1 | 1 1 | 0 0 0 0
1 0 | 1 1 | 1 1 | 0 0 1 1
0 1 | 1 1 | 1 1 | 0 0 0 0
1 1 | 1 1 | 1 1 | 0 0 1 1
LogicSim file and image attached
FullAdder.zip