This problem deals with the A$5/1$ cipher. For each part, justify your answer.

On average, how often does the X register step?

How often it happens is based on the amount of clock of the cpu. The average is clock frequency

On average, how often does the Y register step?

On average, how often does the Z register step?

On average, how often do all three registers step?

On average, how often do exactly two registers step?

On average, how often does exactly one register step?

On average, how often does no register step?