#include <iostream>
#include <string>
#include <cmath>

using namespace std;

class Binary {
private:
    string binaryString;
    int base;
    int decimalNo;

public:
	
    // Constructor (If base is greater than 2 first convert into base 10 using that base and then convert back into binary and change the base to 2)
    Binary(string binaryStr, int base = 2){
        if(base > 2){

        }
    }

    void toBinary(){
        binaryString = "";
        int temp = decimalNo;
        while(temp > 0){
            binaryString = char(temp%2 + '0') + binaryString;
            temp /= 2;
        }
    }

    void toDecimal(){
        decimalNo = 0;
        for(int i=0;i<binaryString.length();i++) decimalNo += (binaryString[i] - '0')*pow(2, binaryString.length() -1 - i);
    }

    // Overloading + operator for addition
    Binary operator+(const Binary& other) const{

	}

    // Overloading - operator for subtraction
    Binary operator-(const Binary& other) const{
	
	}
    
    // Overloading += operator for addition
    Binary& operator+=(const Binary& other) const{
	
	}

    // Overloading -= operator for subtraction
    Binary& operator-=(const Binary& other) const{
	
	}

    // Overloading * operator for multiplication (Convert to base 10 multiply and convert back into base 2)
    Binary operator*(const Binary& other) const{
	
	}

    // Overloading / operator for division  (Convert to base 10 divide and convert back into base 2)
    Binary operator/(const Binary& other) const{
	
	}

    // Overloading % operator for modulus  (Convert to base 10 modulus and convert back into base 2)
    Binary operator%(const Binary& other) const{
	
	}
    
    // Overloading | operator for or
    Binary operator|(const Binary& other) const{
	
	}
    
    // Overloading ^ operator for xor
    Binary operator^(const Binary& other) const{
	
	}

    // Overloading & operator for and
    Binary operator&(const Binary& other) const{
	
	}

    // Overloading ! operator for 2's Compliment
    Binary operator!() const{
	
	}
    
    // Overloading ~ operator for 1's Compliment
    Binary operator~() const{
	
	}
    
    // Overloading left shift operator
    Binary operator<<(int shiftAmount) const{
	
	}

    // Overloading right shift operator
    Binary operator>>(int shiftAmount) const{
	
	}

    // Overloading input operator
    friend istream& operator>>(istream& input, Binary& other){
	
	}

    // Overloading output operator (Display Both Binary as well as Integer value)
    friend ostream& operator<<(ostream& output, const Binary& other){
	
	}
};