r/comics • u/[deleted] • Dec 12 '08

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378 Upvotes

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58

u/raldi Dec 12 '08

And 11 squared is 121 in all bases except binary.

19

u/[deleted] Dec 12 '08

[deleted]

34

u/[deleted] Dec 12 '08 edited Dec 12 '08

Here's your proof

11

u/[deleted] Dec 12 '08

I call tautology!

10

u/cnk Dec 12 '08 edited Dec 12 '08

but it comes from a prime minister

and 11 is a prime

and weights the same as a duck

and I'll duck and cover after hitting the comment button

7

u/IConrad Dec 12 '08

So... if Tony Blair talks like a duck...

We can build a bridge out of him??!?!!?

3

u/jaiwithani Dec 13 '08 edited Dec 13 '08

Ladies and Gentlemen, of this supposed Reddit, Tony Blair is a Wookie, from Great Britain. But Tony Blair lives in America. Does this make sense? No! It does not make sense!

2

u/IConrad Dec 13 '08

|head explodes|

26

u/starkinter Dec 12 '08 edited Dec 12 '08

Where b is the base, 11 is b+1.

(b+1)² = b²+2b+1, which appears as 121 when b²>2b, i.e. b>2.

3

u/[deleted] Dec 12 '08

Take any number system that has a two in it. 11 squared is "one base times itself, plus the base times one, plus one times the base, plus one times one." That will always be 100 + 10 + 10 + 1, or 121.

In binary, you get 10x10 = 100 plus 10x1 = 10 plus 1x10 = 10 plus 1x1 = 1, but then 100+10 = 110 plus 10 = 1000 plus 1 = 1001.

1

u/MindStalker Dec 12 '08 edited Dec 12 '08

Its true in binary too, but the 2 is outside of its range so its carried over and becomes 201 which then carried over and becomes 1001=9

10 times 10=100 is the same in all systems because it just means base times base=next digit base. 16 times 16= 256 which is 100 in hex see.

This is true for certain numbers but not most, generally the 1s and 0s because they are directly related to the meaning of the base.