Programming Practicum Template Assignment 2: Summing Fractions. Demonstrate a fl

Question

Programming Practicum Template Assignment 2: Summing Fractions. Demonstrate a floating point round off error. This can be done with a print statement or any more complicated code. What we demonstrated in class is to add 1 + ½ + …+1/6 and compare this to adding 1/6 + … + ½ +1. Name: Date: (5 points) Introduction: Describe your code in a single sentance (5 points) Code: Please copy and paste your code here (5 points) Output: Please copy and paste the results from your code here (5 points) Verification: Please tell me why you believe your code and output are correct (5 points) Summary: Please tell me what you learned and how you will use this in the future Programming Practicum Template Assignment 2: Summing Fractions. Demonstrate a floating point round off error. This can be done with a print statement or any more complicated code. What we demonstrated in class is to add 1 + ½ + …+1/6 and compare this to adding 1/6 + … + ½ +1. Name: Date: (5 points) Introduction: Describe your code in a single sentance (5 points) Code: Please copy and paste your code here (5 points) Output: Please copy and paste the results from your code here (5 points) Verification: Please tell me why you believe your code and output are correct (5 points) Summary: Please tell me what you learned and how you will use this in the future Programming Practicum Template Assignment 2: Summing Fractions. Demonstrate a floating point round off error. This can be done with a print statement or any more complicated code. What we demonstrated in class is to add 1 + ½ + …+1/6 and compare this to adding 1/6 + … + ½ +1. Name: Date: (5 points) Introduction: Describe your code in a single sentance (5 points) Code: Please copy and paste your code here (5 points) Output: Please copy and paste the results from your code here (5 points) Verification: Please tell me why you believe your code and output are correct (5 points) Summary: Please tell me what you learned and how you will use this in the future

Explanation / Answer

Introduction :

(int) operation (int) always gives int.

Example :

int x=1/2; or float y=1/2;

x=(int)0.5; y=(int)0.5; //result is getting converted into int

x=0; y=0; //0 is integer from 0.5

Code:

/* C Language used */

#include <stdio.h>

int main()

{

float x=1+1/2+1/3+1/4+1/5+1/6;

  

float y=1/6+1/5+1/4+1/3+1/2+1;

  

printf("%f %f",x,y);

  

return 0;

}

/* Code ends here */

Output:

1.000000

1.000000

Verification:

Statement 1: float = int + (int/int) + (int/int) + .. + (int/int) ;

x = 1 + 1/2 + 1/3 + .. + 1/6 ;

x = 1 + 0 + 0 + .. + 0 ;

x = 1; //assignment

Statement 2: float = (int/int) + (int/int) + .. + (int/int) + int ;

x = 1/2 + 1/3 + .. + 1/6 + 1 ;

x = 0 + 0 + .. + 0 + 1 ;

x = 1; //assignment

Summary :

Output is getting verified as (int) operation (int) gives int

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