Design a $4-$bit prime number generator that operates in both forward $($increment$)$ and backward

$($decrement$)$ directions based on a direction input. The system must respond to the positive edge of

the input clock signal and include the following synchronous inputs:

$$ Reset: Resets the generator to the smallest prime number in the sequence.

$$ Direction: Determines whether the generator counts up $($increment$)$ or down $($decrement$).$

The generator must cycle through the $4-$bit prime numbers in the specified direction. Add any other

signals you believe are necessary if applicable.

$1.$ Sketch a Level $1$ Block Diagram showing the input and output ports.

$2.$ Sketch the internal design block diagram

$3.$ VHDL Implementation: Write the VHDL code to implement this generator. Feel free to choose

structural or behavioral VHDL implementation.