Ping me when you've caught up to the current discussion (i.e. after you've bothered to read all the answers to questions that you are repeating right now). We're up to at least Post #678, btw...
Ah, here I am and I note that you may or may not realize that a turing machine that can't read and write to at least one tape isn't universal.
I infer that you probably still don't understand that "program" is an abstraction created by humans and that neither computers nor cells contain "mathematical instructions."
I also see you didn't take up the challenge of making a DNA computer (by which you mean a cell) will perform the chemical equivalent of the program I posted.
Finally, I see that, in all this time, you haven't given any good reason for inferring that DNA is designed from the fact that we can model cellular chemistry.
BTW, what's all this base-4 arithmetic stuff. Aren't there only 20 different amino acids coded for? With start and stop, I'd say base-22 would be more accurate. Not that they're doing arithmetic anyway of course.