Bases of number systems.

[A Fool]

I'm curious about something, whenever we count in a certain base we have to be able to count upto that number, example in base ten we count from 1 to 9 then proceed to one zero, or 10. same as binary. now in that respect I can see why counting in base e or base infinite would be useless but what if we counted in powers of infinite? now i realise that this is impossible unless it is infinite to the power infinite and so forth. now this may be just a mathematical side thought but i was just curious if iwas staying in the realms of mathematical rule.

[dirtyamerica]

I'm scratching my head now....but how would you start counting in base e? I thought the number e was just one number (the square root of -1).

[Rocket Man]

I'm scratching my head now....but how would you start counting in base e? I thought the number e was just one number (the square root of -1).

 

e?, you're thinking i, e is the limit of an exponential function, it's like 2.7182.. or something. counting in a base infinite system would be possible, it would simply get rather messy; to have an infinite number of different digits would require infinite area to express even one digit distinguishable from another.

a base 1 system is essentially a simplified tally, a base two is binary and so on. with a base infinite, each expressable number would only have one digit. a decimal in a base infinite system would be an infiniteth, ie, 0.

come to think of it, is base infinite the equivalent of analogue?

[Anjruu]

come to think of it, is base infinite the equivalent of analogue?

 

I don't think you can compare them. You are talking about analogue signals, right? As in the waveform of the signal is what is read? I dont think that its a number system, so it can't really be compared to base infinity.