Assignment: Compose a basic project that involves designing and analyzing sequential circuits, including registers and counters. Your project should clearly explain the input$/$output behavior of these circuits.

a$.$ Choose a practical scenario, such as a simple digital game, a binary counter display, or a vending machine controller. Justify why you selected this scenario.

b$.$ Provide a step$-$by$-$step analysis of your circuit design.

c$.$ Highlight how registers and counters are utilized to achieve the desired behavior.

d$.$ Additionally, provide a summarized overview of your project's key components and how they work together to achieve the intended outcome.