Question

Write a recursive function called DigitCount() that takes a positive integer as a parameter and returns the number of digits in the integer. Hint: The number of digits increases by 1 whenever the input number is divided by 10. Ex: If the input is:

Answer 1

Recursive functions are functions that are called from within itself

The recursive function DigitCount() in Python where comments are used to explain each line is as follows:

#This defines the function

def countDigits(n):

   #If the integer is less than 10

   if n< 10:

       #Then the integer has 1 digit

       return 1

   #Otherwise,  

   else:

       #Count the number of integers

       return 1 + countDigits(n / 10)

At the end of the function, the count of integers is returned to the main function

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