A.2.5 Numbers
| digits | integer | | digits.digits | approximate number | | base^^digits | integer in specified base | | base^^digits.digits | approximate number in specified base | | mantissa*^n | scientific notation (mantissa  ) | | base^^mantissa*^n | scientific notation in specified base (mantissa  ) | | number` | machine-precision approximate number | | number`s | arbitrary-precision number with precision s | | number``s | arbitrary-precision number with accuracy s |
Input forms for numbers. Numbers can be entered with the notation base^^digits in any base from 2 to 36. The base itself is given in decimal. For bases larger than 10, additional digits are chosen from the letters a-z or A-Z. Upper- and lower-case letters are equivalent for these purposes. Floating-point numbers can be specified by including . in the digits sequence. In scientific notation, mantissa can contain ` marks. The exponent n must always be an integer, specified in decimal. The precision or accuracy s can be any real number; it does not need to be an integer. In the form base^^number`s the precision s is given in decimal, but it gives the effective number of digits of precision in the specified base, not in base 10. An approximate number x is taken to be machine precision if the number of digits given in it is Ceiling[$MachinePrecision] + 1 or less. If more digits are given, then x is taken to be an arbitrary-precision number. The accuracy of x is taken to be the number of digits that appear to the right of the decimal point, while its precision is taken to be Log[10, Abs[x]] + Accuracy[x]. A number entered in the form 0``s is taken to have precision Indeterminate and accuracy s.
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