How does the binary numbering system differ from the hexadecimal numbering system?
a. the binary system is base 2 and the hexadecimal system is base 10.
b. the binary system is base 2 and the hexadecimal system is base 16.
c. the binary system is base 10 and the hexadecimal system is base 16.
d. the binary system is base 16 and the hexadecimal system is base 2.

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

After you clean an engine with hot water spray, it seems to stall; when it doesn't stall, it's idling noisily. technician a says to check for loose bolts on the flex plate near the torque converter. technician b says to wipe down the spark plug wires and the distributor cap. who is correct? a. technician a b. both technicians a and b c. technician b

How does is make you feel when you're kind to others? what are some opportunities in your life to be more kind to your friends and loved ones? imagine a world where kindness has be outlawed. how would people act differently? would your day-to-day life change significantly? why or why not?