Steph, do you understand bases? Like the principle of base ten (decimal) vs. base eight?
Book: Yes, I'd forgotten you're moonlighting as a criminal mastermind now. Got your next heist planned? Simon: No. But I'm thinking about growing a big black mustache. I'm a traditionalist.
'War Stories'
Spike's Bitches 27: I'm Embarrassed for Our Kind.
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§ ita § - Dec 13, 2005 6:11:18 am PST #9543 of 10003
Well not canonically, no, but this is transformative fiction.
Steph L. - Dec 13, 2005 6:13:33 am PST #9544 of 10003
Unusually and exceedingly peculiar and altogether quite impossible to describe
Steph, do you understand bases? Like the principle of base 10 (decimal) vs. base 8?
Um. Someone explained base 8 recently -- I can't remember which thread -- and by "recently," I mean "in the past few or 6 months" -- and I sort of grasped the idea, but not really.
Base 10 is just....the numbering system that we common non-mathy folk use in everyday life, right? Because I get that. That's about the only math I get.
Gudanov - Dec 13, 2005 6:14:43 am PST #9545 of 10003
Coding and Sleeping
Binary is just counting when the largest digit you can use is 1.
So:
Regular Number Binary Number
0 0
1 1
2 10
3 11
4 100
5 101
6 110
etc...
Hil R. - Dec 13, 2005 6:15:33 am PST #9546 of 10003
Sometimes I think I might just move up to Vermont, open a bookstore or a vegan restaurant. Adam Schlesinger, z''l
why is a^p = a in Z sub p when p is prime?
That's a direct consequence of Fermat's Little Theorem. Have you learned that yet?
Also, if you divide f(x) by (x-a), why is the remainder always f(a)?
Hmm. I'm not sure about that one. You're assuming that f(x) is a polynomial? You can probably do something with the division algorithm, but I'm not sure exactly what.
Steph L. - Dec 13, 2005 6:16:06 am PST #9547 of 10003
Unusually and exceedingly peculiar and altogether quite impossible to describe
Okay, but I don't understand that chart. How does 6 in normal numbers = 110 in binary?
tommyrot - Dec 13, 2005 6:16:37 am PST #9548 of 10003
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Some computer calculator programs can convert to and from binary. I forget if the one that comes with OS X does that, but the Win XP does.
Connie Neil - Dec 13, 2005 6:16:42 am PST #9549 of 10003
brillig
I had a tag recently that said "There are 10 types of people in the world, those who understand binary and those who don't." Gud's table explains the joke.
Steph L. - Dec 13, 2005 6:17:21 am PST #9550 of 10003
Unusually and exceedingly peculiar and altogether quite impossible to describe
Also, if you divide f(x) by (x-a), why is the remainder always f(a)?
*This* is an understandable question, but "what up with binary code?" ISN'T? You mathy types are confusing.
Steph L. - Dec 13, 2005 6:17:52 am PST #9551 of 10003
Unusually and exceedingly peculiar and altogether quite impossible to describe
I had a tag recently that said "There are 10 types of people in the world, those who understand binary and those who don't." Gud's table explains the joke.
Um. Okay.
Hil R. - Dec 13, 2005 6:19:47 am PST #9552 of 10003
Sometimes I think I might just move up to Vermont, open a bookstore or a vegan restaurant. Adam Schlesinger, z''l
Steph, binary counting is based on saying that every number can be expressed as the sum of powers of 2: 1, 2, 4, 8, 16, 32, 64, etc. The first digit (first on the right) is how many ones there are -- so every odd number will have a 1 there, and every even number will have a 0 there. The next digit is how many 2s there are. So 2 is 10, 3 is 11, since it's 2+1. And so on.
So, 9 = 8+1, so in binary it's 101. 10 = 8+2, so in binary it's 110. 19 = 16+2+1, so it's 1011. Etc.