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But a low-level language such as Fortran , C or Java always stores a fixed number of digits, typically around 53, in its standard double-precision floating-point representation of numbers.
… (An example is NestList[Mod[2 #, 1]&, N[ π /4, 40], 200] ; Map[Precision, list] gives the number of significant digits of each element in the list.)
… But if the computer gives a fixed number of digits at each step, then additional digits must be filled in on the right.