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Here we have 2 simple programs to showcase various basic arithmetic operations and how typecasting is handled by C language with and without explicitly using Typecasting in our program.

Below is a program to perform basic arithmetic operations without typecasting.

```
#include<stdio.h>
int main()
{
printf("\n\n\t\tStudytonight - Best place to learn\n\n\n");
int a, b, add, subtract, multiply;
float divide;
printf("Enter two integers: \n");
scanf("%d%d", &a, &b);
add = a+b;
subtract = a-b;
multiply = a*b;
divide = a/b;
printf("\nAddition of the numbers = %d\n", add);
printf("Subtraction of 2nd number from 1st = %d\n", subtract);
printf("Multiplication of the numbers = %d\n", multiply);
printf("Dividing 1st number from 2nd = %f\n", divide);
printf("\n\n\t\t\tCoding is Fun !\n\n\n");
return 0;
}
```

C Language do handle typecasting implicitly, still user can handle it in their programs too.

Below is a simple program to perform basic arithmetic operations with typecasting.

```
#include<stdio.h>
int main()
{
printf("\n\n\t\tStudytonight - Best place to learn\n\n\n");
int a, b, add, subtract, multiply, remainder;
float divide;
printf("Enter two integers: \n");
scanf("%d%d", &a, &b);
add = a+b;
subtract = a-b;
multiply = a*b;
divide = a/(float)b;
remainder = a%b;
printf("\n\nAddition of the numbers = %d\n", add);
printf("\nSubtraction of 2nd number from 1st = %d\n", subtract);
printf("\nMultiplication of the numbers = %d\n", multiply);
printf("\nDividing 1st number from 2nd = %f\n", divide);
printf("\nRemainder on Dividing 1st number by 2nd is %d\n", remainder);
printf("\n\n\t\t\tCoding is Fun !\n\n\n");
return 0;
}
```