SetPrecision

SetPrecision[expr, n] yields a version of expr in which all numbers have been set to have a precision of n digits.

When SetPrecision is used to increase the precision 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 zero.

SetPrecision returns an arbitrary-precision number, even if the precision requested is less than $MachinePrecision.

When expr contains machine-precision numbers, SetPrecision[expr, n] can give results which differ from one computer system to another.

SetPrecision will first expose any hidden extra digits in the internal binary representation of a number, and only after these are exhausted add trailing zeros.

0.004`25 generates a number with all trailing digits zero and precision 25 on any computer system.

SetPrecision[expr, n] does not modify expr itself.

See The Mathematica Book: Section 3.1.5.

See also: N, Precision, Chop, SetAccuracy, $MinPrecision, $NumberMarks.

Further Examples