If a positive integer $N$ is entered into a calculator, and then the ``$\sqrt{ }$'' key (taking the positive square root) is pressed 3 times consecutively, the display shows the answer as 2. Then $N$ equals which of the following options?\\
(1) $2^{3}$\\
(2) $2^{4}$\\
(3) $2^{6}$\\
(4) $2^{8}$\\
(5) $2^{12}$