std::string binaryAddition(std::string a, std::string b) {
	std::string b1 = a;
	std::string b2 = b;
	std::string c;

	bool z = false;

	while (c.length() != a.length())
	{
		for (int i = 0; i < a.length(); i++)
		{
			std::cout << "A: " << b1[i] << ", " << "B: " << b2[i] << ", " << "Z: " << z << std::endl;

			if ((b1[i] == 1) && (b2[i] == 0) && (z == false))
			{
				c.push_back(1);
				z = false;
			}

			else if ((b1[i] == 0) && (b2[i] == 0) && (z == true))
			{
				c.push_back(1);
				z = false;
			}

			else if ((b1[i] == 0) && (b2[i] == 0) && (z == false))
			{
				c.push_back(0);
				z = false;
			}

			else if ((b1[i] == 1) && (b2[i] == 1) && (z == false))
			{
				c.push_back(0);
				z = true;
			}

			else if ((b1[i] == 1) && (b2[i] == 0) && (z == true))
			{
				c.push_back(0);
				z = true;
			}

			else if ((b1[i] == 1) && (b2[i] == 1) && (z == true))
			{
				c.push_back(1);
				z = true;
			}
		}
	}
	return c;
}