There are, essentially, two problems in your code, both of which, in themselves, will make your loop run endlessly.
Starting from the outside and working inwards: The test at the end of your (outer) while
loop will always be "true", as you have while (x >= 0)
; so, even when x gets to zero (as it will), the loop will keep running! (And, once x is zero it will remain zero!)
Second, the two 'inner' while loops shouldn't be loops at all! You want one or the other 'block' to run once only for each main loop - so use an if ... else
structure.
The following is a corrected version of your code:
#include <iostream>
int main() {
// using namespace std; // Generally, not good practice (and frowned-upon here on SO)
using std::cin; using std::cout; using std::endl; // Use only those you want to!
using std::string;
int x, remainder;
cout << "please enter a positive integer number: " << endl;
string tab;
tab = '\t';
cin >> x;
remainder = x % 2;
do {
if (x % 2 != 0)
{
cout << x << " is odd" << tab << "Subtract 1" << tab << " Half of " << x - 1 << " is " << x / 2;
x = (x - 1) / 2;
cout << endl;
}
else // if (x % 2 == 0) ... but we don't need to test this again.
{
cout << x << " is even" << tab << "Subtract 0" << tab << "Half of " << x << " is " << x / 2;
x = x / 2;
cout << endl;
}
} while (x > 0); // You run forever if you have x >= 0!
return 0;
}
There are a few other things that could be changed to make the code more "efficient," but I'll let you peruse the MNC (Minimum Necessary Change) before we start editing towards a BPC (Best Possible Code)!
EDIT: OK, due to 'peer pressure' from comments , I'll put in a suggested BPC now:
#include <iostream>
int main() {
using std::cin; using std::cout; using std::endl; // Use only those you want to!
int x;// , remainder; // "remainder" is never used, so we can discard it!
cout << "Please enter a positive integer number: " << endl;
cin >> x; // Not critical, but I like to put such a cin right after the prompting cout.
std::string tab{ "\t" }; // Let's initialise more directly!
do {
// As there is only one line (now) inside each if/else block, we can leave out the {} ...
if (x % 2 != 0)
cout << x << " is odd" << tab << "Subtract 1" << tab << "Half of " << x - 1 << " is " << x / 2;
else
cout << x << " is even" << tab << "Subtract 0" << tab << "Half of " << x << " is " << x / 2;
// We can put the following two line outside the tests, as they will be the same in both cases:
x = x / 2; // When x is ODD, this will give the SAME answer as x = (x - 1)/2 (as you noticed in your first cout)
cout << endl;
} while (x > 0); // You run forever if you have x >= 0!
return 0;
}