There was an issue with binary not creating a repetitive pattern when plotted. Sorry, it's one of those things where I remember going in with the problem and coming out with the solution and revisiting my process is on my to-do list. But basically, to solve the problem the digits from the decimal point needed to be taken into account. Makes this some kind of mixed radix system.

Ultimately, a part of this whole creation requires a non-resistant symmetry (meaning that redundancy checks naturally occur) between computers. I figured this out by basically giving all binary a numerical value. The dots to the right of the axis of that picture would be inverted numbers and colors. This is the automatic checksum between computers, entries should add to zero.