So you may ask "What is a Turing Machine?" If you do find yourself asking that question, a better explination than I could ever provide, and a way to see one for yourself can be found here

Sample program for addition is below (It is best to use the above Turing Machine above to get this to work!)
in state reading write move new state
0 0 1 r 1
0 1 1 r 0
1 1 1 r 1
1 0 0 l 2
2 1 0 r h

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