Let's say you want to impress your friends* by making a watch that displays the number of seconds since midnight in hexadecimal. (Do not consider leap seconds.) a) What is the minimum number of hexadecimal digits required given that the watch resets to zero every day at midnight? b) Let's say you make the watch and then go to a coffee shop. You enter at exactly 2:26pm and 6 seconds and look at your watch. What value does the watch display? *Type of impression may vary depending on the friend.