Difference between revisions of "Octal math"
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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. | 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: |
| + | {| class="wikitable" | ||
| + | |+ | ||
| + | !Octal | ||
| + | !Decimal | ||
| + | |- | ||
| + | |1<sub>8</sub> | ||
| + | |1 | ||
| + | |- | ||
| + | |10<sub>8</sub> | ||
| + | |8 | ||
| + | |- | ||
| + | |11<sub>8</sub> | ||
| + | |9 | ||
| + | |- | ||
| + | |12<sub>8</sub> | ||
| + | |10 | ||
| + | |- | ||
| + | |100<sub>8</sub> | ||
| + | |64 | ||
| + | |- | ||
| + | |1,000<sub>8</sub> | ||
| + | |512 | ||
| + | |- | ||
| + | |10,000<sub>8</sub> | ||
| + | |4,096 | ||
| + | |- | ||
| + | |100,000<sub>8</sub> | ||
| + | |32,768 | ||
| + | |} | ||
Revision as of 02:12, 3 April 2021
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 irrelevant. 58 = 510, 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:
| Octal | Decimal |
|---|---|
| 18 | 1 |
| 108 | 8 |
| 118 | 9 |
| 128 | 10 |
| 1008 | 64 |
| 1,0008 | 512 |
| 10,0008 | 4,096 |
| 100,0008 | 32,768 |
