Octal math
Note: This article is about octal, which is a real thing. For more information, consult 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 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:
Tens (101) | Ones (100) | Calculation | Value (Decimal) |
---|---|---|---|
1 | 0 | 1×101 + 1×100 | 10 |
Octal works the same way, but it only has 8 symbols (like an octagon has 8 sides): 0, 1, 2, 3, 4, 5, 6, and 7. After 7, they use two symbols to write the number 8, like so: "10"
Eights (81) | Ones (80) | Calculation | Value (Decimal) |
---|---|---|---|
1 | 0 | 1×81 + 1×80 | 8 |
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: 108 = 8.
Note: For single digit numbers, this distinction is immaterial. 58 = 510