Write a C Program to calculate Base-2 and Base-N logarithm by recursion

By | 24.03.2017

C Program to calculate Base-2 and Base-N logarithm


Write a C Program to calculate Base-2 and Base-N logarithm by recursion. Here’s simple Program to calculate Base-2 and Base-N logarithm using recursion in C Programming Language.


Recursion : :


  • Recursion is the process of repeating items in a self-similar way. In programming languages, if a program allows you to call a function inside the same function, then it is called a recursive call of the function.
  • The C programming language supports recursion, i.e., a function to call itself. But while using recursion, programmers need to be careful to define an exit condition from the function, otherwise it will go into an infinite loop.
  • Recursive functions are very useful to solve many mathematical problems, such as calculating the factorial of a number, generating Fibonacci series, etc.

Equation : :


One can easily calculate the logarithm of any base using the following simple equation:

log.png

Where log k is the function that returns the base-k logarithm of a number, and it can be any real number.


Below is the source code for C Program to calculate Base-2 and Base-N logarithm by recursion which is successfully compiled and run on Windows System to produce desired output as shown below :


SOURCE CODE : :


/* C Program to calculate Base-2 and Base-N logarithm by Recursion  */


#include<stdio.h>
int log2(int num);
int logN(int num, int base);

int main()
{
        int num, base;


        printf("Enter number for Base-2 logarithm :: ");
        scanf("%d",&num);

        printf("\nValue of log base 2 of %d = %d\n",num,log2(num));

        printf("\nEnter any number :");
        scanf("%d",&num);
        printf("Enter base to %d :: ",num);
        scanf("%d",&base);

        printf("\nValue of log base %d of %d = %d\n",base,num,logN(num,base));

        return 0;

}

int log2(int num)
{
      if(num==1)
           return 0;
      return 1 + log2(num/2);
}

int logN(int num,int base)
{
      if(num<base)
           return 0;
     return 1 + logN(num/base,base);
}

OUTPUT  : :


************* OUTPUT **************


************* FIRST RUN ***********

Enter number for Base-2 logarithm :: 100

Value of log base 2 of 100 = 6

Enter any number :10
Enter base to 10 :: 10

Value of log base 10 of 10 = 1



************* SECOND RUN ***********

Enter number for Base-2 logarithm :: 2

Value of log base 2 of 2 = 1

Enter any number :100
Enter base to 100 :: 5

Value of log base 5 of 100 = 2

If you found any error or any queries related to the above program or any questions or reviews , you wanna to ask from us ,you may Contact Us through our contact Page or you can also comment below in the comment section.We will try our best to reach upto you in the short interval.


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About Tunde A

My name is Tunde Ajetomobi, a Tech Enthusiast and Growth Hacker. I enjoy creating helpful content that solves problem across different topics. Codezclub is my way of helping young aspiring programmers and students to hone their skills and find solutions on fundamental programming languages.

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