C Program to Print Binary Equivalent of an Integer using Recursion

Problem Description

This C program, using recursion, finds the binary equivalent of a decimal number entered by the user.

Problem Solution

Decimal numbers are of base 10 while binary numbers are of base 2.

Program/Source Code

#include <stdio.h>
 
int binary_conversion(int);
 
int main()
{
   int num, bin;
 
   printf("Enter a decimal number: ");
   scanf("%d", &num);
   bin = binary_conversion(num);
   printf("The binary equivalent of %d is %d\n", num, bin);
}
 
int binary_conversion(int num)
{
    if (num == 0)
    {
        return 0;
&n....

Problem Description

This C program, using recursion, finds the binary equivalent of a decimal number entered by the user.

Problem Solution

Decimal numbers are of base 10 while binary numbers are of base 2.

Program/Source Code

#include 
 
int binary_conversion(int);
 
int main()
{
   int num, bin;
 
   printf("Enter a decimal number: ");
   scanf("%d", &num);
   bin = binary_conversion(num);
   printf("The binary equivalent of %d is %d\n", num, bin);
}
 
int binary_conversion(int num)
{
    if (num == 0)
    {
        return 0;
    }
    else
    {
        return (num % 2) + 10 * binary_conversion(num / 2);
    }
}

Program Explanation

In this C program, we are reading a decimal number using num variable. Decimal numbers are of base 10, while binary numbers are of base 2. The binary_conversion() function is used to find the binary equivalent of a decimal number entered by the user.

In binary_conversion() function, convert the binary number to its equivalent decimal value. If else condition statement is used to check the value of num variable is equal to 0. If the condition is true, execute the statement by returning 0 to the called variable bin.

Otherwise if the condition is false, execute else statement. Compute the modulus of the value of num variable by 2 and add the resulted value to 10. Multiply the resulted value with the value of binary_conversion() function. Divide the value of num variable by 2 and pass as an argument and execute the function recursively. Print the Binary equivalent of an integer using recursion.

Output:

Enter a decimal number: 10

The binary equivalent of 10 is 1010