PROGRAMS:
1) Fibonacci series:
#include<iostream>
using namespace std;
int main()
{
int i=0,n,t1=0,t2=1,t3;
cout<<"Enter the number of terms:"<<endl;
cin>>n;
cout<<"\nFibonacci series is:"<<endl;
if(n==1)
cout<<t1;
else if(n==2)
cout<<t1<<" "<<t2<<" ";
else
{
cout<<t1<<" "<<t2<<" ";
while(i<n-2)
{
t3=t1+t2;
cout<<" "<<t3<<" ";
t1=t2;
t2=t3;
i++;
}
}
return 0;
}
2) Prime number:
#include<iostream>
using namespace std;
int main()
{
int n, c=1;
cout<<"Enter the number:"<<endl;
cin>>n;
if(n<=1)
{
c=0;
}
else
{
for(int i=2;i<n;i++)
{
if(n%i==0)
{
c=0;
}
break;
}
}
if(c==0)
{
cout<<n<<" is not a prime number"<<endl;
}
else if(c==1)
{
cout<<n<<" is a prime number"<<endl;
}
return 0;
}
3) Palindrome number:
#include<iostream>
using namespace std;
int main()
{
int n,og,rev=0,r;
cout<<"Enter a number:"<<endl;
cin>>n;
og=n;
while(n!=0)
{
r=n%10;
rev=rev*10+r;
n/=10;
}
if(og==rev)
{
cout<<og<<" is a palindrome"<<endl;
}
else
{
cout<<og<<" is not a palindrome"<<endl;
}
return 0;
}
4) Factorial:
#include<iostream>
using namespace std;
int main()
{
int fact=1,i=1,n;
cout<<"Enter a number:"<<endl;
cin>>n;
if(n==0)
cout<<"fact=1"<<endl;
else
{
while(i<=n)
{
fact*=i;
i++;
}
cout<<"fact = "<<fact<<endl;
}
return 0;
}
5) Armstrong number:
#include<iostream>
#include<cmath>
using namespace std;
int main()
{
int n,og,r,d=0,sum=0;
cout<<"Enter a number:"<<endl;
cin>>n;
og=n;
while(og!=0)
{
og/=10;
++d;
}
og=n;
while(og!=0)
{
r=og%10;
sum+=pow(r,d);
og/=10;
}
if(sum==n)
{
cout<<n<<" is an Armstrong number"<<endl;
}
else
{
cout<<n<<" is not an Armstrong number"<<endl;
}
return 0;
}
6) Sum of Digits:
#include<iostream>
using namespace std;
int main()
{
int num,sum=0,r,og;
cout<<"Enter the number:"<<endl;
cin>>num;
og=num;
while(num!=0)
{
r=num%10;
sum+=r;
num/=10;
}
cout<<"Sum of digits = "<<sum<<endl;
return 0;
}
7) Reverse Number:
#include<iostream>
using namespace std;
int rev(int num)
{
int reversed = 0;
while(num!=0)
{
int digit=num%10;
reversed=reversed*10+digit;
num/=10;
}
return reversed;
}
int main()
{
int number;
cout<<"Enter a number: ";
cin>>number;
int reversedNumber=rev(number);
cout<<"Reversed number: "<<reversedNumber<<endl;
return 0;
}
8) Swap two numbers without using third variable:
#include<iostream>
using namespace std;
int main()
{
int a, b;
// Input two numbers
cout << "Enter two numbers to swap: ";
cin >> a >> b;
// Swapping without using a third variable
a = a + b; // Add both numbers and store the result in 'a'
b = a - b; // Subtract 'b' from 'a' (which is now the sum), store the original
'a' in 'b'
a = a - b; // Subtract 'b' (which is the original 'a') from 'a' (which is now
the original 'b')
// Output the swapped numbers
cout << "After swapping, a = " << a << " and b = " << b << endl;
return 0;
}
9) Matrix Multiplication:
#include <iostream>
using namespace std;
const int MAX_SIZE = 100; // Maximum size for matrices, adjust as needed
// Function to multiply two matrices
void multiplyMatrices(int mat1[MAX_SIZE][MAX_SIZE], int mat2[MAX_SIZE]
[MAX_SIZE], int result[MAX_SIZE][MAX_SIZE], int rows1, int cols1, int cols2)
{
// Initialize result matrix with zeros
for(int i = 0; i < rows1; ++i)
{
for(int j = 0; j < cols2; ++j)
{
result[i][j] = 0;
}
}
// Perform multiplication
for(int i = 0; i < rows1; ++i)
{
for(int j = 0; j < cols2; ++j)
{
for(int k = 0; k < cols1; ++k)
{
result[i][j] += mat1[i][k] * mat2[k][j];
}
}
}
}
// Function to print a matrix
void printMatrix(int matrix[MAX_SIZE][MAX_SIZE], int rows, int cols)
{
for(int i = 0; i < rows; ++i)
{
for(int j = 0; j < cols; ++j)
{
cout << matrix[i][j] << " ";
}
cout << endl;
}
}
int main()
{
int mat1[MAX_SIZE][MAX_SIZE], mat2[MAX_SIZE][MAX_SIZE];
int result[MAX_SIZE][MAX_SIZE];
int rows1, cols1, rows2, cols2;
// Input dimensions of matrix 1
cout << "Enter number of rows and columns of matrix 1: ";
cin >> rows1 >> cols1;
// Input elements of matrix 1
cout << "Enter elements of matrix 1:" << endl;
for(int i = 0; i < rows1; ++i)
{
for(int j = 0; j < cols1; ++j)
{
cin >> mat1[i][j];
}
}
// Input dimensions of matrix 2
cout << "Enter number of rows and columns of matrix 2: ";
cin >> rows2 >> cols2;
// Input elements of matrix 2
cout << "Enter elements of matrix 2:" << endl;
for(int i = 0; i < rows2; ++i)
{
for(int j = 0; j < cols2; ++j)
{
cin >> mat2[i][j];
}
}
// Check if multiplication is possible
if(cols1 != rows2)
{
cout << "Matrix multiplication not possible. Number of columns in
matrix 1 should be equal to number of rows in matrix 2." << endl;
return 1;
}
// Perform matrix multiplication
multiplyMatrices(mat1, mat2, result, rows1, cols1, cols2);
// Output the result matrix
cout << "Resultant matrix after multiplication:" << endl;
printMatrix(result, rows1, cols2);
return 0;
}
10) Decimal to binary:
#include <iostream>
using namespace std;
// Function to convert decimal to binary
void decimalToBinary(int n)
{
// Array to store binary number
int binaryNum[32];
// Counter for binary array
int i = 0;
while(n > 0)
{
// Store remainder in binary array
binaryNum[i] = n % 2;
n = n / 2;
i++;
}
// Print binary array in reverse order
cout << "Binary representation: ";
for(int j = i - 1; j >= 0; j--)
cout << binaryNum[j];
cout << endl;
}
int main()
{
int decimalNumber;
// Input decimal number
cout << "Enter a decimal number: ";
cin >> decimalNumber;
// Call function to convert and print binary equivalent
decimalToBinary(decimalNumber);
return 0;
}
11) Alphabet Triangle
#include <iostream>
using namespace std;
int main()
{
int n;
char current_char = 'A';
cout << "Enter the number of rows (1 to 26): ";
cin >> n;
if (n < 1 || n > 26)
{
cout << "Invalid input! Number of rows should be between 1 and 26."
<< endl;
return 1;
}
// Loop through each row
for (int i = 0; i < n; ++i)
{
// Print spaces before the characters
for (int j = 0; j < n - i - 1; ++j)
{
cout << " ";
}
// Print characters in increasing order
for (int j = 0; j <= i; ++j)
{
cout << current_char++;
}
// Print characters in decreasing order
for (int j = i - 1; j >= 0; --j)
{
cout << --current_char;
}
cout << endl;
current_char = 'A'; // Reset current_char for next row
}
return 0;
}
12) Number Triangle:
#include <iostream>
using namespace std;
int main()
{
int n;
cout << "Enter the number of rows (1 to 9): ";
cin >> n;
if (n < 1 || n > 9)
{
cout << "Invalid input! Number of rows should be between 1 and 9." <<
endl;
return 1;
}
// Loop through each row
for (int i = 1; i <= n; ++i)
{
// Print spaces before the digits
for (int j = 0; j < n - i - 1; ++j)
{
cout << " ";
}
// Print numbers in increasing order
for (int j = 1; j <= i; ++j)
{
cout << j;
}
// Print numbers in decreasing order
for (int j = i - 1; j >= 1; --j)
{
cout << j;
}
cout << endl;
}
return 0;
}
13) Fibonacci Triangle:
#include <iostream>
using namespace std;
// Function to calculate Fibonacci numbers
int fibonacci(int n)
{
if (n <= 1)
return n;
else
return fibonacci(n-1) + fibonacci(n-2);
}
int main()
{
int n;
cout << "Enter the number of rows for Fibonacci triangle: ";
cin >> n;
// Loop through each row
for (int i = 0; i < n; ++i)
{
// Print Fibonacci numbers for the current row
for (int j = 0; j <= i; ++j)
{
cout << fibonacci(j) << " ";
}
cout << endl;
}
return 0;
}
14) Number in Characters:
#include <iostream>
#include <string>
using namespace std;
// Function to convert a digit to its word representation
string digitToWord(int digit)
{
string words[] = {"zero", "one", "two", "three", "four", "five", "six",
"seven", "eight", "nine"};
return words[digit];
}
int main()
{
long long num;
cout << "Enter a number (up to 18 digits): ";
cin >> num;
if (num < 0 || num > 999999999999999999)
{
cout << "Number out of range. Please enter a number between 0 and
999,999,999,999,999,999." << endl;
return 1;
}
// Convert number to string to iterate over each digit
string numStr = to_string(num);
// Print each digit as words
cout << "Digits in words: ";
for (char digitChar : numStr)
{
int digit = digitChar - '0'; // Convert char to int
cout << digitToWord(digit) << " ";
}
cout << endl;
return 0;
}
