We have basic words for the numbers zero to three, so why not use them to count?
- None (0)
- Single (1)
- pair (2)
- Multiple (3+ but we’ll use it as three)
So with those “digits” we can construct some numbers:
- Single
- pair
- Multiple
- Single nothing
- Single single
- Single pair
- Single multiple
- Pair of nothing
- Pair of singels
- Pair of pairs
And of course we can construct bigger numbers like:
42 = 4²×2+4¹×2+4⁰×2 = pair of pairs of pairs
128 = 4³×2 = pair of absolute complete nothinges
For this last one I just use some adjectives to repeat the “nothing” as it looks really weird with multiple nothing in a row.
The distance between Stockholm and Gothenburg is a single multiple of none multiple multiples
Could I have a single multiple of bananas please?
Lower bases like base-2 and base-4 are more efficient in some ways because they use fewer symbols, but with the tradeoff that the numbers get longer. e.g. 13033 vs 499. Most computers count in base-2, but ssds actually count in base-8, as it’s the most efficient way to store data on the kind of flash storage that they use. Honestly, for humans it probably matters more to have easy division, like with base-12, base-60, and base-360, than it does to have writing efficiency. Bases using square numbers, like base-4, base-8, and base-16 are convenient for computer scientists though, since they convert easily into base-2.
I think you meant “powers of two” not “square numbers” near the end there
Not all of them and not always