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Built-in Mathematica Symbol

$MinNumber

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

$MinNumber is an approximation given to $MachinePrecision and does not include all bits of the minimum representable number.

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

Smaller numbers yield underflows:

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

Smaller numbers yield underflows:

$MinNumber has the smallest possible exponent and all but one significant bits set to 0:

$MinNumber×$MaxNumber is approximately 1:

$MinNumber is not a machine number:

It does have precision equivalent to that of machine numbers: