#base 8

[phoenixyfriend]

Headcanon: Gungan math is in base 8, and this causes trade and engineering/architectural problems with the human Naboo

[woulddieforperrytheplatypus]

Wait so if in the pnf universe they use a base 8 counting system does that mean that 9 and 10 just don’t exist??? And if so how would that work??

First, for anyone who's confused about why we've decided they don't count the same in the Dwampyverse, check out this post by @phineasandferbtheories (tagging them in case they have something to add)

Anon, that is so close to what it means! This confused the absolute shit out of me too when I first started learning binary (which is essentially the same concept except base 2 instead) in Java Programming, but I’d like to think I have a pretty good grasp on how base conversions work even if it’s been a few years since I’ve done them, so here’s my attempt to explain how base 8 would work!

Base 10 means that the number system goes [ 0 1 2 3 4 5 6 7 8 9 ]. There is no digit smaller than 0 and no digit larger than 9.

Base 8 means that the number system goes [ 0 1 2 3 4 5 6 7 ]. There is still no digit smaller than 0, and there’s no digit larger than 7. 

In Base 10, when you want to make a number bigger than 9, you have to add another digit. 9 + 1 becomes 10. 

In Base 8, when you want to make a number bigger than 7, you have to add another digit as well. 7 + 1 becomes 10 (which would be 8 in base 10). 

Essentially, in Base 10, counting would go like this: [ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ]

In Base 8, counting would go like this: [ 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 20 ]

When you’ve known base 10 all your life, any other base can get confusing. [ 16 17 20 ] in itself looks weird, but it gets even weirder when you realize that this series of numbers only goes up to what we know as 16. 

An easy way to convert from base 8 to base 10 is to multiple the 8′s place (what would be the 10′s place) by 8 and then add the 1’s place. 

ex. 23 in base 8 --> (2 x 8) + 3 --> (16) + 3 --> 19 in base 10

ex. 67 in base 8 --> (6 x 8) + 7 --> (48) + 7 --> 55

In Base 10, 99 is the highest it can go with only two digits; the next number it goes to is 100.

In Base 8, the highest it can go with only two digits is 77; the next number it goes to is 100. 

100 in Base 8 is what we know as 64, or 8^2. 

At this point, it may be self-explanatory, but the numbers go [ 100, 101, 102, 103, 104, 105, 106, 107, 110 ].

To convert a three-digit number from base 8 to base 10, the 64′s place (what would be the 100s place) is multiplied by 64; the 8′s place (what would be the 10′s place) is multiplied by 8, and the 1′s place is multiplied by 1. All three numbers are added together, and that’s your number!

ex. 106 in base 8  --> (1 x 64) + (0 x 8) + (5) --> (64) + (0) + (5) --> 69 

ex. 644 in base 8 --> (6 x 64) + (4 x 8) + (4) --> (384) + (32) + (4) --> 420

And, again, there’s a limit to how far it can go in three digits (777) so then you have to move up to 1000 (what we know as 512, or 8^3). To convert it to base 10, you’d multiple the 512′s place (what we know as the 1000′s place) by 512, and continue the pattern down to the 1′s place. After the 512′s place, it’s the 4096′s place (8^4), then the 32762′s place (8^5), and so on.

This may seem really complicated, and, admittedly, switching between bases can be, but if you’d been taught base 8 since you were born, base 10 would seem just as weird as base 8 seems to someone who’s been raised on base 10. There’s really no reason for us to use base 10 other than the fact that we have 10 fingers to count on, so it would actually be kind of weird for the characters in the Dwampyverse to use base 10 (though they canonically have used numbers that wouldn’t exist in base 8 -- coquet Y8 and hockey Z9 come to mind -- so they must use base 10 which really makes all this speculation useless, even if it’s fun.) 

Anyways, thank you for coming to my octal numeral system TED talk, and if you suffered through this whole “lesson” and have any questions, hmu! Anything beyond base 10 gets confusing (try looking up duodecimal and you’ll see a bunch of different ways to write ten and eleven, though personally I’m rather fond of hexadecimal-style just because it makes the most sense) so I’m probably not the best person to ask about that (though I can attempt to answer questions if you happen to have them ig?) but I can pretty much answer anything base 10 or under.

[markwateneymemorialcrater]

Two guys in the office are currently arguing over what is a better numbering system. Base 8 or base 10. But they are terrible at explaining it to eachother so the discussion/ debate is going nowhere.

[james-steinhaus]

[gaymedievaldruid]

Six is a valid number in two situations. One is in base 6 counting (however base 8 is more valid)

And the other, obviously, is in 5+1 fics

[justicemath]

How to change from base 10 to any Base

How to change from base 10 to any Base

How can you change from base 10 to hexadecimal (base 16)? Or how can you convert a number in base 10 to base 2. To change from base 10 to other bases, a method called successive division is used. The given number in base 10 is divided repeatedly by the appropriate base number. The remainders of each division, including zero, are recorded at each stage of the division.

The division stops only…

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[thepoweroffriendshipgivesumoney]

An idea  that has been rattling in my head for the past couple of years

An animated tv show with an art style that gives the characters four fingers on each hand. In this show, the number 9 is non-existant but people talk about these sweet tricks for the 7's times tables; like how the product will have a digital root of 7; people say that they have 10 of something, but to us, there are only 8. 100 is a milestone, but not a rare occurance to see someone live to... It would make sense for them to live in a base 8 world...

[hyperform]