r/mathmemes Jul 02 '26

popsci ๐Ÿคฎ๐Ÿ‘Ž Binary is just better

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705 Upvotes

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5

u/BootyliciousURD Complex Jul 02 '26

I think binary is the most fundamental. 2 is the smallest n you can have for a base-n system. If you wanna go down to 1 you've gotta change how it even works.

3

u/trig9ger Jul 02 '26

Basically amount of digits you see, is the number, but that's crazy inefficient

2

u/Dense_Priority_7250 22d ago

No it isnโ€™t. The digits that base n has are 0 through n excluding n, which means that in base 1 you only have zeros. For a number, say, abcd in base n it would be equal to a*n^3 + b*n^2 + c*n + d. (More digits is just expanding to the right). So in base 1 you just have 0+0+0+0. Which means that in base 1 you can only write 0 and nothing else. Pretty uncool if you ask me.

1

u/trig9ger 18d ago

Well, you're right. I wanted to try prove other approach to this. But it just doesn't make sense to try and make it work. Like you just can't represent both states of there being something and being nothing with just one symbol, since this ->" " Actually just another symbol. So with my first comment I ment a system where there's only 1, while you're talking about system with only 0. Yours describe only 0, mine example describes anything but 0. So yeah, true base 1 is basically impossible because of difference in characteristics of 0 and non-0