Octal math: Difference between revisions

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{{Note|This article is about octal, which is a real thing. For more information, consult [https://en.wikipedia.org/wiki/Octal the other wiki].}}
The people of Delgar use '''octal math'''. This is because of the way they count on their fingers, counting 1-4 on the fingers then raising thumb and counting again for 5-8, then using the other hand to count to a total of 16 on both hands (or 64 in the positional style, where the left hand is counted as 8x the shown value).
{| class="wikitable"
|+
!Number
!Thumb
!Index
!Middle
!Ring
!Pinky
|-
|1
|down
|'''up'''
|down
|down
|down
|-
|2
|down
|'''up'''
|'''up'''
|down
|down
|-
|3
|down
|'''up'''
|'''up'''
|'''up'''
|down
|-
|4
|down
|'''up'''
|'''up'''
|'''up'''
|'''up'''
|-
|5
|'''up'''
|'''up'''
|down
|down
|down
|-
|6
|'''up'''
|'''up'''
|'''up'''
|down
|down
|-
|7
|'''up'''
|'''up'''
|'''up'''
|'''up'''
|down
|-
|8 (10<sub>8</sub>)
|'''up'''
|'''up'''
|'''up'''
|'''up'''
|'''up'''
|}
This is why Delgar's [[currencies]] are divided into multiples of 8 instead of multiples of 10.


The people of Delgar use '''octal math'''. What this means is that they write the number 7 with one symbol ("7") but they write the number 8 with two symbols ('10"). If you've ever studied numeric bases for some reason (probably computer science) you probably already understand this, but in case it's confusing, here's the basic idea:
What's with that "10<sub>8</sub>" you ask? Well, in writing, they write the number 7 with one symbol ("7") but they write the number 8 with two symbols ('10"). If you've ever studied numeric bases in math or computer science you probably already understand this, but in case it's confusing, here's the basic idea:{{Note|The remainder of this article is primarily about octal itself, which is a real thing. For more information, consult [https://en.wikipedia.org/wiki/Octal the other wiki].}}


In decimal (the numbers you know and love) we have 10 different symbols for numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. When counting, after passing 9, we have no individual symbol to write the number 10, so we write it with two symbols: one in the "ten's place" and one in the "one's place", like so:
In decimal (the numbers you know and love) we have 10 different symbols for numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. When counting, after passing 9, we have no individual symbol to write the number 10, so we write it with two symbols: one in the "ten's place" and one in the "one's place", like so:
Line 13: Line 79:
|1
|1
|0
|0
|1×10<sup>1</sup> + 1×10<sup>0</sup>
|1×10<sup>1</sup> + 0×10<sup>0</sup>
|10
|10
|}
|}
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|1
|1
|0
|0
|1×8<sup>1</sup> + 1×8<sup>0</sup>
|1×8<sup>1</sup> + 0×8<sup>0</sup>
|8
|8
|}
|}
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