The IO stream’s state when EOF occurs

Check following simple C++ program:

#include <iostream>
using namespace std;

int
main()
{
    char ch;

    while (cin >> ch)
    {
        cout << ch << '\n';
    }

    cout << "bad: " << cin.bad() << ", eof: " << cin.eof() << ", fail: " << cin.fail() << '\n';

    return 0;
}

Compile and run it, press Ctrl + D:

$ c++ foo.cpp -o foo
$ ./foo
bad: 0, eof: 1, fail: 1

We can see both fail and eof bits are set to 1. From this table, we can see when both fail and eof bits are set to 1, the operator bool of stream will return false.