I find it hard to imagine how you'd implement various simple functions in the bitgrid. It would be interesting if you'd present some simple hand-worked examples.

For example, how it would implement a 1-bit full adder? Like the nitty-gritty details: which input on which cell represents input A, which represents input B, and which represents carry-in? Which output is sum and which is carry-out? What are the functions programmed into each node that it uses?

Then show how to build a 2-bit adder from there.