RTL Design Problem $1$

Use the RTL design process to designa$-$parking lot management system. The system has a single$-$bit input $($C$)$ for detecting a car at the entrance, and two single$-$ bit outputs $($E and F$)$ for opening the entrance gate and indicating whether the lot is full or not.

The entrance gate should open when a car is detected and close after a predefined number of clock cycles $($e$.$g$.,5$ cycles$).$ The system should also keep track of the available parking spaces and set F to $1$ when the lot is full.

Provide a detailed explanation and specify the number of inputs and outputs.