The Na'vi number system (octal)

Started by Deamon5550, January 01, 2010, 02:12:56 AM

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Deamon5550

The number system of the Na'vi is an octal. Which means their number system is based off of 8 instead of 10 (10 is called decimal, and is the standard of western countries.) The Na'vi system is octal becuase they have 4 fingers on each hand. Only the digits 0-7 are used.

How to change a decimal (base of 10) into an octal (base of 8 ) number:
first ill give an example then ill explane it

to convert 12510 into octal

125/82 = 1
125 - ((82)x1) = 61
61/81 = 7
61 - ((81)x7) = 5
5/80 = 5
5 - ((80)x5) = 0

so 12510 is equal to 1758

now for the explanation:

You start by dividing the orignal number by the highest possible power of 8, calculate the remainder, and then repeat with the remainder. when you can no longer divide by a power of 8, add the remaining number onto the previous ones.

To go from an octal number to a decimal number:

1758 = 1x82 + 7x81 + 5x80
Then just solve it normally
64 (1x82) + 56 (7x81) + 5 (5x80)
=12510


An in-depth description of an octal based number system, as well as conversions to binary and hexadecimal,  can be found at http://en.wikipedia.org/wiki/Octal

Any questions, just ask, while language may not be my strong point, numbers most deffinitly are.

And Happy New Year to all.
Kìyevame ulte Eywa ngahu.

join our real life tribe! here(And yes, it will be a real tribe in the real world, not a role play tribe)

Uniltìranyu

#1
So, basically, wouldn't it be easier to say that to convert a number from decimal to Octal you would just multiply the places out?

ex. 79318 -> dec = (7 x 83) + (9 x 82) + (3 x 81) + (1 x 80) = 3584 + 576 + 24 + 1 = 418510

[edit]hehe. woops. this method is to go from Oct to Decimal...
Eywa ayngahu, frapo nìNa'vi paylltxeie...
May Eywa be with you, all Na'vi speakers.

Uniltìranyu

Quote from: Deamon5550 on January 01, 2010, 02:12:56 AM
The number system of the Na'vi is an octal. Which means their number system is based off of 8 instead of 10 (10 is called decimal, and is the standard of western countries.) The Na'vi system is octal becuase they have 4 fingers on each hand. Only the digits 0-7 are used.

How to change a decimal (base of 10) into an octal (base of 8 ) number:
first ill give an example then ill explane it

to convert 12510 into octal

125/82 = 1
125 - ((82)x1) = 61
61/81 = 7
61 - ((81)x7) = 5
5/80 = (tecnically you cannot divide by 0) <- This is not dividing by 0, it's dividing by 1.
0 - ((80)x5) = 5

so 12510 is equal to 1758

now for the explanation:

You start by dividing the orignal number by the highest possible power of 8, calculate the remainder, and then repeat with the remainder. when you can no longer divide by a power of 8, add the remaining number onto the previous ones.
Eywa ayngahu, frapo nìNa'vi paylltxeie...
May Eywa be with you, all Na'vi speakers.

Deamon5550

Thanks Uniltìranyu, fixed it.

To go from an octal number to a decimal number:

1758 = 1x82 + 7x81 + 5x80
Then just solve it normally
64 (1x82) + 56 (7x81) + 5 (5x80)
=12510
Kìyevame ulte Eywa ngahu.

join our real life tribe! here(And yes, it will be a real tribe in the real world, not a role play tribe)

Beduino

Or you can do it in a easier way (at least part of it) like discussed here. :)

Quote from: Skxawng on December 21, 2009, 01:58:28 AM
Figure I'd bring this down from the e-mails, as its not on the site.

oe neu nume numbers, slä numbers lu incomplete. omum pe oe:
(directly: I want learn numbers, but numbers are incomplete. know what I:) <- early attempts :P

Na'vi number system is octal Based on 8.

Known numbers:

One - 'aw
Two - mune
Three - ??
Four - tsíng
Five - ??
Six - ??
Seven - kinä
Eight - ??

from there, thinking about numbers octally (base 8) can be pretty confusing at first, but you can break it down pretty simply: observe the following

Octal: 1,2,3,4,5,6,7
Decimal: 1,2,3,4,5,6,7

not different at all! here's where it gets confusing

Octal: 10,11,12,13,14,15,16,17
Decimal:8, 9,10,11,12,13,14,15

remember, 8 is essentially 0 in an octal system, and the new digit indicates how many of the base numbers are there. continuing on:

Octal:  20,21,22,23,24,25,26,27
Decimal:16,17,18,19,20,21,22,23

and you can go up and up. Here's a quick trick to quick number conversions:

For each 2nd digit increment, subtract an additional 2 from the octal number to get the decimal number.

Example:

Octal number is 25
since its in the twenties, multiply the number 2 by 2 again, and subtract the resulting 4 from the octal number:

25-(2x2) = ?
25-4
21 << decimal number

Example 2:

Octal number is: 47
47-(4x2) = ?
47-8
39 << decimal number

so quite simply, if the octal number is in the
10s, minus 2 from the number to get decimal equivalent
20s, minus 4 from the number to get decimal equivalent
30s, minus 6 from the number to get decimal equivalent
40s, minus 8 from the number to get decimal equivalent
50s, minus 10 from the number to get decimal equivalent
60s, minus 12 from the number to get decimal equivalent

and up and up and up.


-----------------

Numerical confusion:
past the first seven numbers, only two other numbers are known:

Sixteen, or vofu (octal: 20)
Thirty Two, or Tsìvol (octal: 40)


The question then is...

if o20 is vofu
is o21 vofu'aw? 'aw-vofu? 'awvofu?
is o22 vofumune? mune-vofu? munevofu?

and so fourth.
(forgot to mention, the o before the number indicates that its an octal, or na'vi number)

so again, for reference, here are the current known numbers:

One - 'aw
Two - mune
Three - ??
Four - tsíng
Five - ??
Six - ??
Seven - kinä
Eight - ??
o10 - ??
o20 - vofu
o30 - ??
o40 - tsìvol
o50 - ??
o60 - ??
o70 - ??
o100 - ??

tsun ngal tslam fì'uti srak?