C Program to Calculate Generic Root of a Number

How to Write a C Program to Calculate Generic Root of a Number with an example. The mathematical formula to calculate the generic root is nothing but the calculating sum of all digits in a given number until we get a single digit output (less than 10).

For example, Generic Root of 98765 = 9 + 8 + 7 + 6 + 5 = 35 = 8

C Program to Calculate Generic Root of a Number

This C program allows the user to enter one positive integer. And then, it will calculate the Generic Root of a given number

/* C Program to Calculate Generic Root of a Number */
 
#include <stdio.h>
 
int main()
{
  int Number, Sum, Reminder;
 
  printf("\n Please Enter any number\n");
  scanf("%d", &Number);
 
  while(Number >= 10)
  {
    for (Sum=0; Number > 0; Number= Number/10)
    {
      Reminder = Number % 10;
      Sum=Sum + Reminder;  
    }
    if(Sum >= 10)
    {
      Number = Sum;
    }
    else
    {
      printf("\n The Generic Root of a Given Number = %d", Sum);
      return 0;
    }
  } 
}

OUTPUT

C Program to Calculate Generic Root of a Number using Functions

This is the same program that we used in the first example but this time we separated the logic using Functions.

/* C Program to Calculate Generic Root of a Number */
 
#include <stdio.h>
 
int Sum_Of_Digits (int); 
 
int main()
{
  int Number, Sum, Root;
 
  printf("\n Please Enter any number\n");
  scanf("%d", &Number);
  
  while(Number >= 10)
  {
    Sum = Sum_Of_Digits (Number);
    if(Sum >= 10)
    {
      Number = Sum;
    }
    else
    {
      printf("\n Generic Root of a Given Number = %d", Sum);
      return 0;
    }
  }	
}
 
int Sum_Of_Digits (int Number)
{
  int Reminder, Sum;
 
  for (Sum=0; Number > 0; Number = Number/10)
  {
     Reminder = Number % 10;
     Sum = Sum + Reminder;  
  }     
 return Sum;
}

As you can see from the above code snippet, we used a function called Sum_of_Digits to find the Sum of all digits of a Number. I suggest you refer Sum of Digits in a Given Number article to understand the function

ANALYSIS

Within this Program to Calculate Generic Root of a Number example,

• First, Condition inside the While loop will make sure that the given number is greater than or equal to 10. And if the condition is True then it will call the Sum_of_Digits.
• Next, Condition inside the If Statement will make check whether the Sum_of_Digits Function Output (i.e., Sum) is greater than or equal to 10.
  • If the condition is True, we are assigning Sum to Number. It means, it will again call the Sum_of_Digits with updated Number (i.e., Sum).
  • If the condition is False, Print the Output.