RealDigits
Usage
• RealDigits[x] gives a list of the digits in the approximate real number x, together with the number of digits that are to the left of the decimal point. • RealDigits[x, b] gives a list of base-b digits in x. • RealDigits[x, b, len] gives a list of len digits. • RealDigits[x, b, len, n] gives len digits starting with the coefficient of .
Notes
• RealDigits[x] normally returns a list of digits whose length is equal to Precision[x]. • RealDigits[x] and RealDigits[x, b] normally require that x be an approximate real number, returned for example by N. RealDigits[x, b, len] also works on exact numbers. • For integers and rational numbers with terminating digit expansions, RealDigits[x] returns an ordinary list of digits. For rational numbers with non-terminating digit expansions it yields a list of the form { , , ... , { , , ... }} representing the digit sequence consisting of the  followed by infinite cyclic repetitions of the  . • If len is larger than Log[10, b] Precision[x], then remaining digits are filled in as Indeterminate. • RealDigits[x, b, len, n] starts with the digit which is the coefficient of  , truncating or padding with zeros as necessary. • RealDigits[x, b, len, -1] starts with the digit immediately to the right of the base-b decimal point in x. • The base b in RealDigits[x, b] need not be an integer. For any real b such that  , RealDigits[x, b] successively finds the largest integer multiples of powers of b that can be removed while leaving a non-negative remainder. • RealDigits[x] discards the sign of x. • FromDigits can be used as the inverse of RealDigits. • New in Version 2; modified in 4.
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