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Posted: Fri Apr 11, 2008 5:11 pm
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Posted: Fri Apr 11, 2008 5:18 pm
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Posted: Fri Apr 11, 2008 5:32 pm
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Posted: Mon Apr 14, 2008 2:00 am
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Posted: Mon Apr 14, 2008 2:30 pm
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Posted: Mon Apr 14, 2008 3:10 pm
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Posted: Sat Apr 19, 2008 12:36 pm
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Posted: Sun Apr 20, 2008 11:05 am
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Doppelgaanger What is base six? I've never understood the base-## concept... I know that counting is some sort of base-##...
It's surprisingly simple once you grasp the concept.
We use "base 10" or "decimal" which means we have 10 different digits: 0 1 2 3 4 5 6 7 8 9. And when we pass that 9, we have to click back over to 0 and add a 1 on the left making it 10, and so on.
If you had "base 16" or "hexadecimal" then you have 16 different digits: 0 1 2 3 4 5 6 7 8 9 A B C D E F. This means that when you pass 9, you go to A, not 10. When you pass F (which is equal to 15), you click over to 10, which actually means "16" in hex.
This is because after the "units place" or "ones place" as it's called in decimal/base10, each preceding number is a multiple of that base. In decimal, we have "10's place" and "100's place" and "1,000's place." So in hex, we'd have "16's place" and "256's place." That's why the 1 in 10 (in hex) means 16 and not 10.
By this logic, base 6 would only have 6 digits and would be "senary." You'd have 0 1 2 3 4 5 only. Thus 10 means "one past 5" or "6." 11 in senary is actually 7, 12 is actually 8, etc.
You can theoretically take your base as high as you want, as there is mathematically no limit. For example, if you say "10" is in base-80, then that 10 actually means "80" as simple as that. Of course, you'd need about 79 different symbols to represent 1 through 79 for that "ones place" and beyond. The lowest base might appear to be base2 or "binary" as you have to have at least 2 different digits in order to count things, right? Well technically, base 1 is the lowest. I don't know the technical nickname for base 1, but many of us just call it "tallying" or "tally marks" where you literally only have a long string of ones, grouped into sections of five for easier counting.
Hope that makes sense?
----
BACK ON TOPIC
I've actually worked out a few realistic measurement systems, but for simplicity I alway stick to base10 counting. I figure... Any race with 10 fingers (two hands) will likely use a base10 counting system, and I don't generally bother with races/species of non-human equivalence.
Also, I always stick to incremental measuring systems, kind of like our metric system, though not always in 10's. For example, there'd be a measure of length called a "bob." Then a "minibob" could be 1/6 of a bob, but a "megabob" would be equal to 6 bobs, or 6 * 6 ( =32) minibobs. That's just an example, though, I don't actually use "bob" as a measurement. Basically, I don't like systems like how 12 inches is a foot, but 12 feet is nothing significant. Nor is 12 miles.
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Posted: Wed Oct 01, 2008 8:13 pm
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Posted: Thu Oct 02, 2008 8:19 pm
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Posted: Fri Oct 03, 2008 9:50 am
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Posted: Mon Oct 06, 2008 8:18 pm
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Kintarans use a base ten counting system and a coin system (which I made up mostly to say "Hey, look, the smaller ones have less value!"). I don't even remember most of it though sad Is sad. Lïtihla is lacking in number stuff, I think. Don't remember. It's been a while since I worked on it.
JeSuisMustapha but that many numbers in one digit space seems a tad unwieldy. So, I thought of making it base six, turning 12 into the new twenty, if you are following my train of thought, not likely
Haha. You don't know hexadecimal, do you? F in hex is "15" in decimal.
Also, I can count binary on my digits. By doing so, I can get to 1023 on ten fingers wink http://www.intuitor.com/counting/
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Posted: Mon Oct 06, 2008 9:51 pm
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Forgedawn Kintarans use a base ten counting system and a coin system (which I made up mostly to say "Hey, look, the smaller ones have less value!"). I don't even remember most of it though sad Is sad. Lïtihla is lacking in number stuff, I think. Don't remember. It's been a while since I worked on it. JeSuisMustapha but that many numbers in one digit space seems a tad unwieldy. So, I thought of making it base six, turning 12 into the new twenty, if you are following my train of thought, not likely Haha. You don't know hexadecimal, do you? F in hex is "15" in decimal. Also, I can count binary on my digits. By doing so, I can get to 1023 on ten fingers wink http://www.intuitor.com/counting/
Actually, he said Base Six, aka "Heximal" or "Senary," not Hexadecimal. Hexadecimal is "Base Sixteen."
Base Six: 0, 1, 2, 3, 4, 5, 10=6, 11=7, 12=8, 13=9, 14=10, 15=11, 20=12 Basically, you can't use the digit "6" so it starts over as 0 and you 'carry the one.'
Hexidecimal: 0, 1, 2, 3, 5, 6, 7, 8, 9, A=10, B=11, C=12, D=13, E=14, F=15, 10=16 ... 20=32
Just wanted to clear that up! I mean, I already basically posted this a few posts up, but that was many months ago, hehe.
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Posted: Tue Oct 07, 2008 2:23 pm
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Xeigrich Forgedawn Kintarans use a base ten counting system and a coin system (which I made up mostly to say "Hey, look, the smaller ones have less value!"). I don't even remember most of it though sad Is sad. Lïtihla is lacking in number stuff, I think. Don't remember. It's been a while since I worked on it. JeSuisMustapha but that many numbers in one digit space seems a tad unwieldy. So, I thought of making it base six, turning 12 into the new twenty, if you are following my train of thought, not likely Haha. You don't know hexadecimal, do you? F in hex is "15" in decimal. Also, I can count binary on my digits. By doing so, I can get to 1023 on ten fingers wink http://www.intuitor.com/counting/ Actually, he said Base Six, aka "Heximal" or "Senary," not Hexadecimal. Hexadecimal is "Base Sixteen." Base Six: 0, 1, 2, 3, 4, 5, 10= 6, 11= 7, 12= 8, 13= 9, 14= 10, 15= 11, 20= 12Basically, you can't use the digit "6" so it starts over as 0 and you 'carry the one.' Hexidecimal: 0, 1, 2, 3, 5, 6, 7, 8, 9, A= 10, B= 11, C= 12, D= 13, E= 14, F= 15, 10= 16 ... 20= 32Just wanted to clear that up! I mean, I already basically posted this a few posts up, but that was many months ago, hehe.
Yes, I know the difference between base six and hexadecimal. The point I was making was that you can have more than 10 digits (0-F, or in the case of a base twelve system, 0-C). If you read the full post:
JeSuisMustapha I really want to make a base-12 number system because of the natural feel and simplicity to it, but that many numbers in one digit space seems a tad unwieldy. So, I thought of making it base six, turning 12 into the new twenty, if you are following my train of thought, not likely icon_sweatdrop.gif .
I sure hope I know the difference, I have a test on Thursday... The only problem we went over today that wasn't on the homework was 0xFEE * 0xBAD. Our teacher has a strange sense of humor.
Sorry to sound petty (because rereading this, I think I sound that way, but I wanted to point out anyway)...
12 is a pretty cool number. Isn't our time system based on .....some kind of Mesopotamian number system that's base 60, or maybe base 20 and then it was 30 that gave time? I'm confusing myself now. Still. 50_12 = 10_60. Coinkydink? Me tinks naught. Is make awrsome.
dramallama nerdnerdnerd. I should spend half as much time studying circuits.
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