Octal math - Revision history

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Admin: Created page with "{{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 '''o..."

2021-04-03T01:59:41Z

Created page with "{{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 '''o..."

New page

{{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'''. 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 already understand this, but in case it's confusing, here's the basic idea:

In decimal (the numbers you know and love)

@@ Line 79: / Line 79: @@
 |1
 |0
-|1×10<sup>1</sup> + 1×10<sup>0</sup>
+|1×10<sup>1</sup> + 0×10<sup>0</sup>
 |10
 |}
@@ Line 92: / Line 92: @@
 |1
 |0
-|1×8<sup>1</sup> + 1×8<sup>0</sup>
+|1×8<sup>1</sup> + 0×8<sup>0</sup>
 |8
 |}

@@ Line 11: / Line 11: @@
 |1
 |down
-|up
+|'''up'''
 |down
 |down
@@ Line 18: / Line 18: @@
 |2
 |down
-|up
+|'''up'''
-|up
+|'''up'''
 |down
 |down
@@ Line 25: / Line 25: @@
 |3
 |down
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
 |down
 |-
 |4
 |down
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
 |-
 |5
-|up
+|'''up'''
-|up
+|'''up'''
 |down
 |down
@@ Line 45: / Line 45: @@
 |-
 |6
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
 |down
 |down
 |-
 |7
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
 |down
 |-
 |8 (10<sub>8</sub>)
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
-|up
+|'''up'''
 |}
 This is why Delgar's [[currencies]] are divided into multiples of 8 instead of multiples of 10.

@@ Line 65: / Line 65: @@
 |up
 |}
-What's with that "10<sub>8</sub>" you ask? 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 for some reason (probably 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 about octal itself, which is a real thing. For more information, consult [https://en.wikipedia.org/wiki/Octal the other wiki].}}
+This is why Delgar's [[currencies]] are divided into multiples of 8 instead of multiples of 10.
 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 1: / Line 1: @@
-{{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"
-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:
+|+
 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 30: / Line 30: @@
 |}
 Okay, but now when I see the number "10" how do I know if it's a ten or an eight? Easy: Unless specified otherwise, it's ten. To do anything else would be very confusing. When a number is octal, it will be indicated with a subscript 8, like so: 10<sub>8</sub> = 8.
-{{Note|1=For single digit numbers, this distinction is irrelevant. 5<sub>8</sub> = 5<sub>10</sub>}}
+{{Note|1=For single digit numbers, this distinction is irrelevant. 5<sub>8</sub> = 5<sub>10</sub>, and an 8 or a 9 has to be base 10 because octal doesn't use those symbols.}}Here are some common values in octal and decimal for comparison: