Write a program that takes in a positive integer as input, and outputs a string of 1's and 0's representing the integer in binary. For an integer x, the algorithm is: As long as x is greater than 0...

Write a program that takes in a positive integer as input, and outputs a string of 1's and 0's representing the integer in binary. For an integer x, the algorithm is:

As long as x is greater than 0 Output x % 2 (remainder is either 0 or 1) x = x / 2

Note: The above algorithm outputs the 0's and 1's in reverse order. You will need to write a second function to reverse the string.

Ex: If the input is:

6

the output is:

110

Your program must define and call the following two functions. The IntegerToReverseBinary() function should return a string of 1's and 0's representing the integer in binary (in reverse). The ReverseString() function should return a string representing the input string in reverse.

string IntegerToReverseBinary(int integerValue)
string ReverseString(string userString)

#include
using namespace std;

/* Define your functions here */

int main() {
/* Type your code here. Your code must call the functions. */

return 0;
}

Please help me with this problem using c++.