An unfortunate reality of trying to represent continuous real numbers in a fixed space (e.g. with a limited number of bits) is that this comes with an inevitable loss of both precision and accuracy.

While computers have the capacity to perform very large calculations very quickly, the result can sometimes be less precise than hand calculations because of the limitation of how numbers are stored ...

While it might not happen anytime soon, traditional supercomputing could be in for a sea change with wider acceptance of lower-precision calculations. Such a change translates into reduced accuracy ...