Towers of Hanoi Adventure

The Towers of Hanoi and Adventures in Mathematics
(page 10000(2))

This Site is About to Come to its End

So we have reached the end of our adventure, thus it's time for a pop quiz.

Q1	Who was Edouard Lucas and did he know Gustave Eiffel?	P1
Q2	What's the value of 5!?	P101
Q3	Who was Euclid?	P101
Q4	What's the value of 2⁶?	P111
Q5	What's the value of 2^N × 2^M?	P111
Q6	Can you prove all black cats are the same colour?	P1001
Q7	What's the value of 0 × N for all N?	P1011
Q8	What's the value of 0 + N for all N?	P1011
Q9	What's the value of N⁰ for all N?	P1011
Q10	What's the value of 0!?	P101
Q11	What's 100 million as a power of 10? or in scientific notation?	P1100
Q12	Given Gates has $64E9 and a billion takes 30 bits, how big a word does he need to store his net worth?	P1101
Q13	What's the decimal value of the hexadecimal number 2A?	P1110
Q14	Approximately (to the nearest million) how many seconds are there in a year?	P1111
Q15	Given we appear to have the time, what kind of sandwich would you get?	P1111

The answers are below.

The Answers

Q1	Edouard Lucas (1842-1891) was the Towers of Hanoi inventor. Gustave Eiffel (1832-1923) was the Eiffel Tower designer and builder. I suspect they at least knew of each other.
Q2	5! = 120
Q3	Euclid (325 B.C.E. - 265 B.C.E approx.) was a Greek mathematician who is best known for geometry, but also as the creator of Euclid's Algorithm.
Q4	2⁶ = 64
Q5	2^N × 2^M = 2^N+M
Q6	Don't need to. They're all black by definition.
Q7	0 × N is 0 for all N
Q8	0 + N is N for all N
Q9	N⁰ is 1 for all N
Q10	0! is 1
Q11	100 million = 10² × 10⁶ = 10⁸ = 1E8
Q12	36 bits. May Gates should just buy a PDP10 which has a 36 bit word. He sure could afford it.
Q13	2A(16) = 2 × 16¹ + A(16) = 32 + 10 = 42. What other answer could there be?
Q14	There's approximately 31 million seconds in a year, so the next time one of your parents says they told you something a million times, you can reply: "Over the last year you would have had to tell me that every 31 seconds". Don't blame me for their reaction. You might want to look up hyperbole.
Q15	Pastrami on rye with hot mustard and a kosher pickle on the side. All other answers are wrong.

Please mail any comments or questions to David Tilbrook. Bye for now.

hanoi16.qh - 1.9 - 05/10/03