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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Number Theoretic Functions
>
Number Digits
>
Built-in
Mathematica
Symbol
Digits in Numbers
Integer and Number Theoretic Functions
Tutorials »
|
Log10
Log2
Log
DigitCount
IntegerDigits
BitLength
ByteCount
IntegerExponent
See Also »
|
Integer Functions
Number Digits
Representation of Numbers
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
More About »
IntegerLength
IntegerLength
[
n
]
gives the number of digits in the base 10 representation of the integer
n
.
IntegerLength
[
n
,
b
]
gives the number of digits in the base
b
representation of
n
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
IntegerLength
[
n
,
b
]
is effectively an efficient version of
Floor
[
Log
[
b
,
n
]]+1
.
IntegerLength
ignores the sign of
n
.
IntegerLength
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(4)
Find the number of decimal digits in 123456789:
The number of binary digits in
:
Plot it:
The
IntegerLength
for different bases:
Find the number of decimal digits in 123456789:
In[1]:=
Out[1]=
The number of binary digits in
:
In[1]:=
Out[1]=
Plot it:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
The
IntegerLength
for different bases:
In[1]:=
Out[1]=
Applications
(2)
Find how the number of digits in
decreases with the base:
SEE ALSO
Log10
Log2
Log
DigitCount
IntegerDigits
BitLength
ByteCount
IntegerExponent
TUTORIALS
Digits in Numbers
Integer and Number Theoretic Functions
MORE ABOUT
Integer Functions
Number Digits
Representation of Numbers
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
RELATED LINKS
Demonstrations with IntegerLength
(
Wolfram Demonstrations Project
)
New in 6