Present and Past

i. A MAC (Media Access Control) address is a globally unique identifier assigned to network devices, and therefore it is often referred to as a hardware or physical address. MAC addresses are written in hexadecmal format like this: F0:23:9C:AA:4E:12. The first 6 hexadecimal digits identify the manufacturer, which is assigned by an Internet standards body. The second 6 hexadecimal digits are a serial number assigned by the manufacturer. How many possible devices can one manufacturer assign? How many total MAC addresses are possible? Assuming a current world population of 7.8 billion people (2021 UN estimate), how many devices could be allocated to each and every person?

ii. The Babylonians developed a sexagesimal (base 60) number system about 4000 years ago. They represented their numbers with a Cuneiform script rather than the digits 0, 1, 2... we know today, and they used the same symbol for both 1 and 60. Ignoring these subtl- ties, lets assume the symbols for the 60 Babylonian digits are (ZERO), (ONE), (TWO), ...(FIFTYEIGHT), (FIFTYNINE). How do you write 500210 in sexagesimal?