DigitCount

DigitCount[n,b,d]
gives the number of d digits in the base-b representation of n.

DigitCount[n,b]
gives a list of the numbers of , , , , digits in the base-b representation of n.

DigitCount[n]
gives a list of the numbers of , , , , digits in the base-10 representation of n.

DetailsDetails

  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • DigitCount[n] is equivalent to DigitCount[n,10,Mod[Range[10],10]].

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Binary representation:

In[1]:=
Click for copyable input
Out[1]=

Number of 1s in binary representation:

In[2]:=
Click for copyable input
Out[2]=

Number of 1s and 0s:

In[3]:=
Click for copyable input
Out[3]=

Number of each digit 1, 2, 3, ..., 0 in 100!:

In[1]:=
Click for copyable input
Out[1]=

Plot the number of 1s in the base-2 representation:

In[1]:=
Click for copyable input
Out[1]=
Introduced in 1999
(4.0)