C++ :: Long Decimal Integer - How To Implement Constructor

I am trying to print out 2^1000. I am not entirely sure on how to implement the constructor. I currently just have x.push_back(n) as my constructors implementation. For the function double(), it is suppose print 2^10 as 1024 and the function addDigits() should print 2^10 as 7. Am I suppose to create a Long object with 2 as a parameter and then use double() to double it 10 times?

#include <iostream>
#include <vector>
#include <iterator>
using namespace std;
class Long {

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