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Documentation / Mathematica / Built-in Functions / Numerical Computation / Number Representation /

RealDigits

FilledSmallSquare 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.

FilledSmallSquare RealDigits[x, b] gives a list of base-b digits in x.

FilledSmallSquare RealDigits[x, b, len] gives a list of len digits.

FilledSmallSquare RealDigits[x, b, len, n] gives len digits starting with the coefficient of .

FilledSmallSquare RealDigits[x] normally returns a list of digits whose length is equal to Precision[x].

FilledSmallSquare 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.

FilledSmallSquare 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 .

FilledSmallSquare If len is larger than Log[10, b] Precision[x], then remaining digits are filled in as Indeterminate.

FilledSmallSquare RealDigits[x, b, len, n] starts with the digit which is the coefficient of , truncating or padding with zeros as necessary.

FilledSmallSquare RealDigits[x, b, len, -1] starts with the digit immediately to the right of the base-b decimal point in x.

FilledSmallSquare 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.

FilledSmallSquare RealDigits[x] discards the sign of x.

FilledSmallSquare FromDigits can be used as the inverse of RealDigits.

FilledSmallSquare See Section 3.1.3.

FilledSmallSquare Implementation Notes: see Section A.9.4.

FilledSmallSquare See also: MantissaExponent, IntegerDigits, BaseForm, FromDigits, ContinuedFraction, MultiplicativeOrder.

FilledSmallSquare New in Version 2; modified in 4.

Further Examples