Sure, here's a C++ class for complex numbers with a friend function to overload the * operator for complex number multiplication:

cpp #include using namespace std;

class Complex { private: float real; float imag;

public: Complex(float r, float i) : real(r), imag(i) {}

friend Complex operator*(const Complex &c1, const Complex &c) {
    float result_real = c1.real * c2.real - c1.imag c2.imag;
    float result_imag = c1.real * c2.imag + c1.imag *2.real;
    return Complex(result_real, result_imag);
}

void display() {
    cout << real " + " << imag << "i" << endl;
}

};

int main() { Complex c1(2, 3); Complex c2(4, 5); Complex result = c1 * c;

cout << "Result of multiplication: ";
result.display();

return 0;

}

In this program we define a `Complex` class with real and imaginary parts We then overload the * operator using a friend function to perform complex number multiplication. In the `main` function, we create two complex numbersc1` and `c2`, and we multiply them using the overloaded * operator, obtaining the result in the `result` object which is then.  

Certainly! Below is a simple C++ program that demonstrates a base class "Shape" with attributes for length and width. We then a class "Rectangle" from "Shape" and implement a method to calculate its area. Finally, we create an object of Rectangle and calculate its area.

#include <iostream>
using namespace std;

// Base class Shape
class Shape {
protected:
    float length;
    float width;

public:
    Shape(float l, float w) : length(l), width(w) {}
};

// Derived class Rectangle from Shape
class Rectangle : public Shape {
public:
    Rectangle(float l, float w) : Shape(l, w)    // Method to calculate area
    float calculateArea() {
        return length * width;
    }
};

int main() {
    Create an object of Rectangle
    Rectangle rect(5, 3);

    // Calculate and display area
    cout << "Area of the rectangle: " <<.calculateArea() << endl;

    return 0;
}

In this program, the Shape class is the class with attributes for length and width. The Rectangle is derived from Shape and contains a method calculateArea() to calculate the area of the rectangle. In the main() function, we create an object of ``, set its dimensions, and then calculate and display its area.

Certainly! Below is a simplified C++ program that creates a class representing a bank account and utilizes a friend function to overload the + operator for adding balances of two accounts. We then create a program to demonstrate this operator overloading using friend functions.

#include <iostream>
using namespace std;

class BankAccount {
private:
    string accountHolder;
    float balance;

public:
    BankAccount(string, float initialBalance) : accountHolder(holder), balance(initialBalance) {}

    // Friend function to overload the + operator
    friend float operator+(const BankAccount& acc1, const BankAccount& acc2) {
        return acc.balance + acc2.balance;
    }
};

int main() {
    // Create two accounts
    BankAccount account1("John Doe", 1500);
    BankAccount account2(" Smith", 2500);

    // Demonstrate operator over using friend function
    float totalBalance = account1 + account2;
    cout << "Total balance after adding both accounts: << totalBalance << endl;

    return 0;
}

In this, we have defined a BankAccount class with an accountHolder balance attributes. We then overload the + operator using friend function to add the balances of two accounts. In the main function, we create two Bank objects and use the overloaded + operator to demonstrate adding the balances of these accounts

Certainly! Below is a C++ program that implements a class for fractions and overloads the + operator to add two fractions together. Additionally, I'll include the program that computes the sum of two fractions and explain the operator overloading involved.

#include <iostream>
using namespace std;

class Fraction {
private:
    int numerator;
    int denominator;

public:
    Fraction(int num, int denom) : numerator(num), denominator(denom) {}

    Fraction operator+(const Fraction& other) {
        int newNumerator = numerator * other.denominator + other.numerator * denominator;
        int newDenominator = denominator * other.denominator;
        return Fraction(newNumerator, newDenominator);
    }
    
    void display() {
        cout << numerator << "/" <<denominator;
    }
};

int main() {
    // Create two fraction objects
    Fraction frac1(1, 2);
    Fraction frac2(1, 3);

    // Compute the sum of the fractions
    Fraction sum = frac1 + frac2;

    // Explain the operator overloading
    cout << "The sum of ";
    frac1.display();
    cout << " and ";
    frac2.display();
    cout << " is ";
    sum.display();
    cout << endl;

    return 0;
}

In this program, there is a Fraction class representing fractions with a numerator and a denominator. The + operator is overloaded as a member function of the Fraction class to add two fractions together. In the main function, two Fraction objects are created, and their sum is computed using the overloaded + operator. Finally, the program prints the result of the addition and explains the operator overloading involved.