Question

1. Write a program in C++ that converts a number entered in Roman numerals to a positive integer. Your program should consist of a class, say, romanType. An object of type romanType should do the following:

   1. Store the number as a Roman numeral.

   2. Convert and store the number as a positive integer.

   3. Print the number as a Roman numeral or positive integer as requested by the user.

      The integer values of the Roman numerals are:

      M = 1000; D = 500; C = 100; L = 50; X = 10; V = 5; I = 1

      d. Test your program using the following Roman numerals: MCXIV, CCCLIX, MDCLXVI.

Answer 1

Here is the completed code for this problem. Comments are included, go through it, learn how things work and let me know if you have any doubts or if you need anything to change. If you are satisfied with the solution, please rate the answer. Thanks

#include<iostream>

using namespace std;

//romanType class

class romanType{

                private:

                //string field to store roman numeral

                string roman;

                public:

                //constructor to initialize roman numeral, assuming input is valid

                romanType(string roman_num){

                                roman=roman_num;

                }

                //method to return the integer value of roman numeral

                int integer_value() const{

                                int value=0;

                                //looping through each character

                                for(int i=0;i<roman.length();i++){

                                               //adding the value of current roman numeral to value

                                               if(roman[i]=='M'){

                                                               value+=1000;

                                               }else if(roman[i]=='D'){

                                                               value+=500;

                                               }else if(roman[i]=='C'){

                                                               value+=100;

                                                }else if(roman[i]=='L'){

                                                               value+=50;

                                               }else if(roman[i]=='X'){

                                                               value+=10;

                                               }else if(roman[i]=='V'){

                                                               value+=5;

                                               }else if(roman[i]=='I'){

                                                               //if I is coming before X, adding 9 instead of 1

                                                               if(i+1<roman.length() && roman[i+1]=='X'){

                                                                               value+=9;

                                                                               i+=1; //skipping next X

                                                               }

                                                               //if I is coming before V, adding 4 instead of 1

                                                               else if(i+1<roman.length() && roman[i+1]=='V'){

                                                                               value+=4;

                                                                               i+=1; //skipping next V

                                                               }

                                                               else{

                                                                               //otherwise, just adding 1

                                                                               value+=1;

                                                               }                                                             

                                               }

                                }

                                return value;

                }

                //returns the roman numeral

                string roman_value() const{

                                return roman;

                }

};

int main(){

                //testing

                romanType r("MCXIV");

                cout<<"Roman: "<<r.roman_value()<<", Integer: "<<r.integer_value()<<endl;

                r=romanType("CCCLIX");

                cout<<"Roman: "<<r.roman_value()<<", Integer: "<<r.integer_value()<<endl;

                r=romanType("MDCLXVI");

                cout<<"Roman: "<<r.roman_value()<<", Integer: "<<r.integer_value()<<endl;

                return 0;

}

/*OUTPUT*/

Roman: MCXIV, Integer: 1114

Roman: CCCLIX, Integer: 359

Roman: MDCLXVI, Integer: 1666