BUILT-IN MATHEMATICA SYMBOL

# SetAccuracy

SetAccuracy[expr, a]
yields a version of expr in which all numbers have been set to have accuracy a.

## DetailsDetails

• When SetAccuracy is used to increase the accuracy of a number, the number is padded with zeros. The zeros are taken to be in base 2. In base 10, the additional digits are usually not zeros.
• SetAccuracy returns an arbitrary-precision number even if the number of significant digits obtained will be less than \$MachinePrecision.
• When expr contains machine-precision numbers, SetAccuracy[expr, a] can give results that differ from one computer system to another.
• SetAccuracy will first expose any hidden extra digits in the internal binary representation of a number, and, only after these are exhausted, add trailing zeros. »
• generates a number with all trailing digits zero and accuracy 25 on any computer system.
• SetAccuracy[expr, a] does not modify expr itself.

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Set the accuracy of all numbers in an expression to 20:

 Out[1]=

Convert from a machine number to an arbitrary-precision number with accuracy 32:

 Out[1]=
 Out[2]=