Question

Write a program that uses a random number generator to generate a two digit positive integer and allows the user to perform one or more of the following operations:

a. Double the number.

b. Reverse the digits of the number.

c. Raise the number to the power of 2, 3, or 4.

d. Sum the digits of the number.

e. If the number is a two digit number, then raise the first digit to the power of the second digit.

f. If the number is a three digit number and the last digit is less than or equal to 4, then raise the first two digits to the power of the last digit.

After performing an operation if the number is less than 10, add 10 to the number. Also, after each operation determine if the number is prime.

Each successive operation should be performed on the number generated by the last operation. Your program should not contain any global variables and each of these operations must be implemented by a separate function. Also, your program should be menu driven.

Answer 1

#include <iostream>
#include <cstdlib>
#include <ctime>
#include <cmath>

using namespace std;

// Function Prototypes
int doubleNumber(int x);
int reverseNumber(int x);
int raiseNumber(int x);
int sumNumber(int x);
int raiseFirstToSecondNumber(int x);
int raiseFirstTwoToLastNumber(int x);
int primeNumber(int x);
int lessThanTen (int x);
void printFunction(int x, int y);

int main()
{
        // Initialize variables
        int iRandom;
        int menuSelection;
        int primeYesNo;

        // Initialize random seed
        srand (time(NULL));
        
        // Generate random number
        iRandom = rand() % 100;
        /* TEST CASE iRandom = 28;  // PLACEHOLDER FOR RANDOM NUMBER = 28 *REMOVE**/
        cout  << "The two digit number is: " << iRandom << endl;

        do
        {

        // Menu Selection
        cout << "1: Enter 1 to double the number." << endl;
        cout << "2: Enter 2 to reverse the digits of the number." << endl; 
        cout << "3: Enter 3 to raise the number to the power of 2, 3, or 4." << endl; 
        cout << "4: Enter 4 to sum the digits of the number." << endl; 
        cout << "5: Enter 5 to raise the first digit to the power of the second digit." << endl; 
        cout << "6: Enter 6 to raise the first two digits to the power of the last digit." << endl; 
        cout << "9: Enter 9 to terminate the program." << endl;

        cin >> menuSelection;

        switch (menuSelection)
        {
        case 1:
                iRandom = doubleNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        case 2:
                iRandom = reverseNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        case 3:
                iRandom = raiseNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        case 4:
                iRandom = sumNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        case 5:
                iRandom = raiseFirstToSecondNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        case 6:
                iRandom = raiseFirstTwoToLastNumber(iRandom);
                primeYesNo = primeNumber(iRandom);
                printFunction (iRandom, primeYesNo);
                iRandom = lessThanTen (iRandom);
                break;
        default:
                break;

        system ("pause");

        }

        }
        while (menuSelection !=9);

        cout << endl;

        system ("pause");

        return 0;
}

int doubleNumber(int iRandom)
{
        iRandom = iRandom * 2;

        return iRandom;
}

int reverseNumber(int iRandom)
{
        // declare variables
        int ones = 0, tens = 0, huns = 0, thous = 0;
        
        // break into individual digits

        if (iRandom <10)
        {
                return iRandom;
        }

        if (iRandom < 100)
        {
                ones = iRandom%10;
                iRandom = iRandom/10;
                tens = iRandom%10;

                iRandom = ones*10 + tens*1;

                return iRandom;
        }

        if (iRandom <1000)
        {
                ones = iRandom%10;
                iRandom = iRandom/10;
                tens = iRandom%10;
                iRandom = iRandom/10;
                thous = iRandom%10;

                iRandom = ones*100 + tens*10 + thous*1;

                return iRandom;
        }
}

int raiseNumber(int iRandom)
{
        // declare variables
        double raiseTo;

        // additional input for raising iRandom to 2, 3, or 4
        cout << endl << "Enter power (2, 3, 4): ";
        cin >> raiseTo;
                
        iRandom = pow(iRandom, raiseTo);

        return iRandom;
}

int sumNumber(int iRandom)
{
        // declare variables

        int ones, tens, huns, thous;
        
        // break into individual digits
        ones = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to get to tens
        tens = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to get to hun
        huns = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to get to thou
        thous = iRandom%10;

        iRandom = ones + tens + huns + thous;

        return iRandom;
}

int raiseFirstToSecondNumber(int iRandom)
{

        // declare variables
        double ones, tens;
        
        // break into individual digits
        ones = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to get to tens
        tens = iRandom%10;

        iRandom = pow(tens, ones);

        return iRandom;
}

int raiseFirstTwoToLastNumber(int iRandom)
{
        if (iRandom <100 || iRandom > 999)
        {
                cout << endl;
                cout << "To perform this operation, it must be a three digit number." << endl;

                return iRandom;
        }

        double ones, tens, huns;
        
        // break into individual digits
        ones = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to get to tens
        tens = iRandom%10;
        iRandom = iRandom/10; // divide iRandom by 10 to geth thous
        huns = iRandom%10;

        iRandom = pow(ones + tens*10, huns);

        return iRandom;
}

int primeNumber(int iRandom)
{
        int primeYesNo;
        int count = 0;

        for (int i = 2; i < iRandom; i++) // Loop to see if number is divisable
        {
                if (iRandom%i == 0)
                {
                        count++;
                        
                        break;
                }
        }

        if (count == 0) // see if check variable has changed (if no = prime number, if yes = not prime)
        {
                primeYesNo = 0;

                return primeYesNo;
        }
        else
        {
                primeYesNo = 1;

                return primeYesNo;
        }
}

void printFunction(int iRandom, int primeYesNo)
{
                if (primeYesNo == 0)
                {
                        cout << endl;
                        cout << iRandom << " is prime." << endl << endl;
                }
                else
                {
                        cout << endl;
                        cout << iRandom << " is not prime." << endl << endl;
                }
}

int lessThanTen (int iRandom)
{
        if (iRandom < 10)
        {
                cout << iRandom << " is less than 10, so adding 10 to it." << endl;
                iRandom = iRandom + 10;

                return iRandom;
        }

        return iRandom;
}