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Numerical Evaluation & Precision
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Representation of Numbers
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MantissaExponent
>
Mathematica
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Core Language
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Expression Structure
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Atomic Elements of Expressions
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Representation of Numbers
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MantissaExponent
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BUILT-IN MATHEMATICA SYMBOL
Digits in Numbers
Tutorials »
|
RealExponent
Log10
RealDigits
IntegerExponent
IntegerLength
See Also »
|
Number Digits
Representation of Numbers
More About »
MantissaExponent
MantissaExponent
[
x
]
gives a list containing the mantissa and exponent of a number
x
.
MantissaExponent
gives the base-
b
mantissa and exponent of
x
.
MORE INFORMATION
The mantissa always lies between
and
or
and
.
MantissaExponent
works with exact as well as approximate numeric quantities.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(4)
Integers:
Base 2:
Exact numeric quantities:
The precision of the mantissa will depend on the precision of the inputs:
Properties & Relations
(3)
The fundamental identity
:
MantissaExponent
is related to
RealExponent
:
If
r
=
RealExponent
[
x
,
b
]
then
and
:
RealDigits
gives the mantissa in terms of digits:
The mantissa is given by
:
This is equal to the values given by
MantissaExponent
:
SEE ALSO
RealExponent
Log10
RealDigits
IntegerExponent
IntegerLength
TUTORIALS
Digits in Numbers
MORE ABOUT
Number Digits
Representation of Numbers
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