Understanding Number Bases and Jokes

The video humorously explores jokes based on different number systems, such as binary, base 3, and hexadecimal. Matt Parker explains how these jokes work by interpreting numbers in various bases, highlighting the mathematical humor behind them. The video also includes a joke about confusing Halloween and Christmas due to octal and decimal number systems. Finally, there's a sponsorship message from Audible.

What is the punchline of the joke about the 10 types of people in the world?

• There are 10 types of people, those who understand binary and those who don't.

• There are 10 types of people, those who understand decimal and those who don't.

• There are 10 types of people, those who understand hexadecimal and those who don't.

• There are 10 types of people, those who understand octal and those who don't.

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In base 3, what does the number 10 represent?

• 4

• 5

• 2

• 3

How can the joke about 10 types of people be generalized to any base?

• 10 in base b equals b in base 10.

• 10 in base b equals 10 in base 10.

• 10 in base b equals 0 in base 10.

• 10 in base b equals 1 in base 10.

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In hexadecimal, what does the letter F represent?

• 15

• 14

• 12

• 10

Why do mathematicians confuse Halloween and Christmas?

• Because Oct 30 equals Dec 25.

• Because Oct 31 equals Dec 24.

• Because Oct 32 equals Dec 25.

• Because Oct 31 equals Dec 25.

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What does Oct 31 equal in base 10?

• 24

• 25

• 26

• 27

What is the base of the number system used in the joke about Oct 31 and Dec 25?

• Base 16

• Base 12

• Base 10

• Base 8

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What is the main theme of the Audible promotion?

• Listening to music

• Reading e-books

• Watching movies

• Listening to audiobooks

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What type of books did Brady Haran enjoy while in Nepal?

• Historical

• Romance

• Mountaineering

• Science fiction

What is the website mentioned for downloading a free audiobook?

• audible.com/mountains

• audible.com/free

• audible.com/books

• audible.com/numberphile