Comment by jfengel

I doubt it. Even the simplest physical system requires a truly insane number of basic operations. Practically everything is integrals-over-infinity. If there were implemented in a floating-point system, you'd need umpteen gazillion bits to avoid flagrant errors from happening all the time.

It's not impossible that the universe is somehow implemented in an "umpteen gazillion bits, but not more" system, but it strikes me as a lot more likely that it really is just a real-number calculation.