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If you use any other base for writing numbers down, it's just as easy to perform pen-and-paper operations. The only problem with larger bases is that the multip
by majewsky 6y ago
If you use any other base for writing numbers down, it's just as easy to perform pen-and-paper operations. The only problem with larger bases is that the multiplication tables increase quadratically. Whereas a base-10 multiplication table has 100 entries, a base-16 table already has 256 entries.
- deleted 6y ago[deleted]
- dTal 6y ago>a base-10 multiplication table has 100 entries Not quite! You can safely ignore identities (0, 1, and 10 itself) so you only have 8 numbers in your table. And multiplication is commutative so you only need 8+7+6... (= (8+1)(8/2) as per Gauss) = 36 entries. Base 16 would have (14+1)(14/2) = 105 entries. So proportional to base-10, actually slightly harder than you said.
- curiousllama 6y agoThe classic - detailed correction followed by "but yea you're totally right anyway" lmao
- majewsky 6y agoA fine demonstration how "basically correct in two sentences" is better than "technically correct in five sentences" in most situations.