#include <iostream>
#include <iomanip>
#include <string>
using namespace std;



bool IsvalidNumForBase(int, int);
int baseToDecimal(int, int);
float someDecimals(float, float);
void decimalToBase(int, int, int &, int &);
int decimalOperation(int decinum1, int decinum2, char o);

// Variables
int base = 0; // the base number the user will enter
int num1, num2; // integers that must be less than the base
int decinum1, decinum2, opResult; // the decimal value for nums 1 and 2
bool IsvalidNum = true;
char op;
int resultWithNoTrailingZero, numTrailingZeros;
int main()
{

	cout << "Enter the base: " << endl;
	cin >> base;

	IsvalidNum = IsvalidNumForBase(num1, num2);
	if (IsvalidNumForBase == false)
	{
		return false;
	}

	else
	{
		cout << "Enter the first number: " << endl;
		cout << "Enter the second number: " << endl;
		cout << endl;

		decinum1 = baseToDecimal(base, num1);
		baseToDecimal(base, num1);
		cout << "Decimal value for first Number: " << decinum1 << endl;

		decinum2 = baseToDecimal(base, num2);
		baseToDecimal(base, num2);
		cout << "Decimal value for the second number" << decinum2 << endl;

		opResult = decimalOperation(decinum1, decinum2, op);
		decimalOperation(decinum1, decinum2, op)


		decimalToBase(opResult, base, resultWithNoTrailingZero, numTrailingZeros)
		{
			int remainder = 0;
			while (opResult > 0)
			{
				remainder = opResult % base;
				resultWithNoTrailingZero += resultWithNoTrailingZero * 10 + remainder;
				if (resultWithNoTrailingZero == 0)
					numTrailingZeros++;
				opResult = opResult / base;
			}
			return;
		}
	}
}
	//params: (in, in)
	int baseToDecimal(int base, int dec)
	{
		int dec = 0;
		int digit = 0; // will hold each digit of the number
		int counter = 0;
		while (dec > 0)
		{
			digit = dec % 10;
			(digit * (pow(base, counter))) + dec
			dec = dec / 10;
			counter++;
		}

		return dec;
	}
	//params: (in, in, in/out, in/out)
	void decimalToBase(int opResult,int base,int resultWithNoTrailingZero,int numTrailingZeros)
	{
		int remainder = 0;
		while (opResult > 0)
		{
			remainder = opResult % base;
			resultWithNoTrailingZero += resultWithNoTrailingZero * 10 + remainder;
			if (resultWithNoTrailingZero == 0)
				numTrailingZeros++;
			opResult = opResult / base;
		}
	}

	//params: (in, in, in)
	int decimalOperation(int decinum1, int decinum2, char 'o')
	{
		if (op == '+')
		{
			opResult = decinum1 + decinum2;
		}
		else if (op == '-')
		{
			opResult = decinum1 - decinum2;
		}
		else if (op == '*')
		{
			opResult = decinum1 * decinum2;
		}
		else
		{
			opResult = decinum1 / decinum2;
		}
		return;
	}
	// params: (in, in)
	bool IsvalidNumForBase(int num1, int num2)
	{
		if (base > num1 && num2)
			cout << base << endl;
		return true;
		else
		{
			cout << "The number is not valid for Base: " << base << endl;
			return false;
		}
	}