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Negative Base

en.wikipedia.org

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Re: Negative Base

#5
post #4

Can anyone provide some examples of practical applications of this?

I can’t imagine there ever would be.

Well, the number of digits tell you the sign of the number, right? It could save a sign bit

I think the ideal wikipedia page for this kind of thing has a 'Properties' section from which to start thinking about this

Re: Negative Base

#7
post #4

Can anyone provide some examples of practical applications of this?

I can’t imagine there ever would be.

I don't think anyone ever imagined a use for imaginary numbers either, but those turned out to be quite useful for reducing dimensionality. Towards the bottom of the article it states that Donald Knuth proposed imaginary base numerical systems.

So this may eventually find a use, likely with higher-dimensional math.

Re: Negative Base

#8
post #4

Earlier quoted context omitted.

I can’t imagine there ever would be.

I don't think anyone ever imagined a use for imaginary numbers either, but those turned out to be quite useful for reducing dimensionality. Towards the bottom of the article it states that Donald Knuth proposed imaginary base numerical systems. So this may eventually find a use, likely with higher-dimensional math.

It will be really funny if there is some bit of new, undiscovered physics, that went undiscovered for so long just because it's best described using some esoteric maths like complex base numbers.

Highly unlikely, but fun to think about.

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