RealDigits
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  .
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 exact rational numbers RealDigits[
x
] returns a list of digits of the form 
,
, ... ,
,
, ... 
 representing the digits  followed by infinite cyclic repetition of the  .
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.
See The Mathematica Book
on the web:Section 3.1.3.
See also: IntegerDigits, BaseForm, FromDigits, ContinuedFraction.
Further Examples
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