In this example, you will learn the simple logic behind **C program to compare two numbers without using relational operators** and its implementation in C program.

Don’t get amazed, there is a simple mathematical logic behind it which I will explain step by step.

## How to find greater number among two without using relational operator in C?

- Add sum and difference of two numbers. This will cancel the effects of smallest number

(big + small) + (big - small)

By performing above calculation we will get a number that is twice the bigger one.

- Now divide the number by 2 to get the original number.

Here is the implementation of above process in the program.

## C program to find greater number without using relational operator

```
/*C program to find greater out of two
numbers without using comparison*/
#include<stdio.h>
#include<math.h>
int main()
{
int x, y;
printf("Enter two numbers:\n");
scanf("%d %d", &x, &y);
//finding largest number between two
printf("\nLargest number: %d\n", ((x + y) + abs(x - y)) / 2);
return 0;
}
```

**Output**

## How to find smaller number among two without using relational operator in C?

- Subtract the sum and difference of two numbers. This will cancel the effects of largest number

(big + small) - (big - small)

By performing above calculation we will get a number that is twice the smaller one.

- Now divide the number by 2 to get the original number.

Now let’s see how it is implemented in the program.

## C program to find out smaller number without using relational operator

```
/*C program to find smaller out of two
numbers without using comparison*/
#include<stdio.h>
#include<math.h>
int main()
{
int x, y;
printf("Enter two numbers:\n");
scanf("%d %d", &x, &y);
//finding smaller number between two
printf("\nSmallest number: %d\n", ((x + y) - abs(x - y)) / 2);
return 0;
}
```

**Output**

**Explanation**

In both programs, we have used `math.h`

header file for using standard `abs( )`

math library function. This function is used for using absolute value i.e. positive values only.