is the largest machineprecision number that can be used on a particular computer system.


  • Numbers larger than $MaxMachineNumber are always represented in arbitraryprecision form.
  • $MaxMachineNumber is typically 2n, where n is the maximum exponent that can be used in the internal representation of machineprecision numbers.


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Basic Examples  (1)

The largest hardware floating point number:

Scope  (2)

Numbers larger than $MaxMachineNumber are represented as arbitrary precision numbers:

Find the maximum machine number algorithmatically:

Properties & Relations  (2)

$MaxMachineNumber has the largest possible binary exponent and all bits set to 1:

$MaxMachineNumber×$MinMachineNumber is 4.×(1.-$MachineEpsilon/2):

Introduced in 1991