Problem Solving Through Programming in C Week 8: Programming Assignments Jul-Dec 2022

      NPTEL PROGRAMMING ASSIGNMENTS

Problem Solving Through Programming in C

Week-08 Program-01

Last Day of Submission: 22-Sep-2022

Write  a C Program to find HCF of 4 numbers using recursive function.

--Solution-- 

  /*#include<stdio.h> int HCF(int, int); int main() { int a, b, c, d, result; scanf("%d %d %d %d", &a, &b, &c, &d); result = HCF(HCF(a, b), HCF(c,d)); printf("The HCF is %d", result); }*/ int HCF(int n, int m){ int gcd; for(int i =1; i<=n && i<=m; i++){ if(n%i==0 && m%i==0){ gcd=i; } } return gcd; }

Week-08 Program-02

Last Day of Submission: 22-Sep-2022

Write a C Program to print Binary Equivalent of an Integer using Recursion

--Solution-- 

  /*#include <stdio.h> int binary_conversion(int); //function to convert binary to decimal number int main() { int num, bin; scanf("%d", &num); bin = binary_conversion(num); printf("The binary equivalent of %d is %d\n", num, bin); return 0; }*/ int binary_conversion(int n){ int a=1,b=0; while(n!=0){ b+=a*(n%2); n=n/2; a=a*10; } return b; }

Week-08 Program-03

Last Day of Submission: 22-Sep-2022

Write a C program to calculate the sum of the series given below

--Solution-- 

  /*#include <math.h> #include <stdio.h> double Series_Sum(int n); int main() { int n; scanf("%d", &n); double Result; Result = Series_Sum(n); printf("The sum of the series is = %.6f\n", Result); return 0; }*/ double Series_Sum(int n){ float s=0; for(float i=1; i<=n;i++){ s+=1/pow(i,i); } return s; }

Week-08 Program-04

Last Day of Submission: 22-Sep-2022

Write a program to express a given integer as a Sum of Two Prime Numbers

--Solution-- 

  #include <stdio.h> int checkPrime(int n); int main() { int n; scanf("%d", &n); int t=0; for(int i=2;i<=n/2;i++){ if(checkPrime(i)){ if(checkPrime(n-i)){ printf("%d = %d + %d\n", n, i, n-i); t=1; }} } if(t==0){ printf("%d cannot be expressed as the sum of two prime numbers.",n);} return 0; } int checkPrime(int n){ int c=0; for(int j=2; j<=n/2;j++){ if(n%j==0){ return 0; } } return 1; }