a$)$ Come up with a scenario where the binary exponential backoff algorithm used in CSMA$/$CD doubles the backoff counter for a node before it re$-$attempts to transmit. You must draw the MAC protocol timeline diagram that depicts correctly that scenario.

b$)$ What is the purpose of doubling the backoff counter with each new attempt? What are some practical consequences of doing that?

c$)$ What is the maximum possible value for the backoff counter for $802\mathrm{.}3$ and what happens when it is reached?