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$MinNumber—Wolfram Documentation

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$MinNumber

gives the minimum positive arbitrary‐precision number that can be represented on a particular computer system.

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$MinNumber

$MinNumber

gives the minimum positive arbitrary‐precision number that can be represented on a particular computer system.

Details

Examples

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Basic Examples  (2)

The nonzero number of minimum magnitude representable on this computer system:

Wolfram Language code: $MinNumber

Smaller numbers yield underflows:

Wolfram Language code: $MinNumber / 2

Properties & Relations  (3)

$MinNumber has the smallest possible exponent:

Wolfram Language code: RealDigits[$MinNumber, 2]

$MinNumber×$MaxNumber is approximately 1:

Wolfram Language code: $MinNumber * $MaxNumber

$MinNumber is not a machine number:

Wolfram Language code: MachineNumberQ[$MinNumber]

It does have precision equivalent to that of machine numbers:

Wolfram Language code: Precision[$MinNumber] == MachinePrecision
Wolfram Research (1996), $MinNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/$MinNumber.html.

Text

Wolfram Research (1996), $MinNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/$MinNumber.html.

CMS

Wolfram Language. 1996. "$MinNumber." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/$MinNumber.html.

APA

Wolfram Language. (1996). $MinNumber. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$MinNumber.html

BibTeX

@misc{reference.wolfram_2026_$minnumber, author="Wolfram Research", title="{$MinNumber}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/$MinNumber.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_$minnumber, organization={Wolfram Research}, title={$MinNumber}, year={1996}, url={https://reference.wolfram.com/language/ref/$MinNumber.html}, note=[Accessed: 14-November-2026]}