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DigitCount

gives the number of d digits in the base-b representation of n.

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.

Integer mathematical function, suitable for both symbolic and numerical manipulation.

Binary representation:

Number of 1s in binary representation:

Number of 1s and 0s:

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

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

Binary representation:

Out[1]=

Number of 1s in binary representation:

Out[2]=

Number of 1s and 0s:

Out[3]=

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

Out[1]=

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

Out[1]=

Count the number of digits 1 and 2 in ternary representation:

Thue-Morse sequence

Number of black cells at step t in the rule 90 cellular automaton (binomial coefficients mod 2):