Do you mean "any number system"?
A computer can be programmed to handle any kind of input and output. Some computers have been designed to operate internally in something other than the usual binary (such as decimal or ternary), but that doesn't affect what they can do. You know that they can display clocks; and if by "clock presentation" you mean modular arithmetic, they can certainly do that, when programmed to do so.
Of course, irrational numbers (or real numbers, in general) can't all be handled exactly; but computer algebra systems can handle them in more or less the way humans do.
So perhaps the question to ask it, can a human deal with any number system, in whatever sense you have in mind?