There are 10 kinds of people in this world. Those who get quaternary; those who don’t; those who thought this was going to be a ternary joke; those who can see where this is going…
Regardless of what base you’re using, 10 is always the nth number. In base 10 (normal numbers), 10 is 10th. In base 2 it is the 2nd.
1
10
11
In base 16 (hexadecimal) it is the 16th.
1
2
3
4
5
6
7
8
9
A
B
C
D
E
F
10
The original joke is “there are 10 kinds of people, those who understand binary and those who don’t l” because 10 in binary is 2 in base 10. But they’re pointing out that a similar joke works for all bases of numbers.
There are n types of people in this world: Those who don’t understand numeral systems, those who understand base x systems for x ∈ [2, n] and those who get pedantic about this meta-joke.
There are
10kinds of people in this world. Those who understand binary and those who don’t.There are
10kinds of people in this world. Those who get ternary; those who don’t; those who thought this was going to be a binary jokeThere are
10kinds of people in this world. Those who get quaternary; those who don’t; those who thought this was going to be a ternary joke; those who can see where this is going…I might be a slow learner but I’m catching on…
Regardless of what base you’re using, 10 is always the nth number. In base 10 (normal numbers), 10 is 10th. In base 2 it is the 2nd.
In base 16 (hexadecimal) it is the 16th.
The original joke is “there are 10 kinds of people, those who understand binary and those who don’t l” because 10 in binary is 2 in base 10. But they’re pointing out that a similar joke works for all bases of numbers.
I love that you felt like this needed explaining - thanks!
Some of us would argue 10 is the n+1 th number because zero comes first. Otherwise you’re just throwing a new digit into the mix when you get to 10.
Zero comes zeroth.
ah I see, you are the 10th kind!
every base is base
10There are n types of people in this world: Those who don’t understand numeral systems, those who understand base x systems for x ∈ [2, n] and those who get pedantic about this meta-joke.
And what are the other e?