When does writing a number in words become more efficient…
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When does writing a number in words become more efficient than binary?
I was thinking about this last night and couldn’t find a clear answer, so here’s a thought experiment.
Compare two ways of representing a number: Binary (raw bits) and English text (ASCII characters)
For example: "one" is 24 bits and in binary is 1
"one thousand" is 96 bits, and in binary is 1111101000
So text clearly gets more expensive *fast*.
But here’s the actual question:
Is there any point (or scenario) where the English text representation of a number becomes more memory-efficient than its binary representation?
I feel like it's fair to assume the answer exists since
A "Googolplex" would be like 10\^10\^10
So when is the cross?
#technology
I was thinking about this last night and couldn’t find a clear answer, so here’s a thought experiment.
Compare two ways of representing a number: Binary (raw bits) and English text (ASCII characters)
For example: "one" is 24 bits and in binary is 1
"one thousand" is 96 bits, and in binary is 1111101000
So text clearly gets more expensive *fast*.
But here’s the actual question:
Is there any point (or scenario) where the English text representation of a number becomes more memory-efficient than its binary representation?
I feel like it's fair to assume the answer exists since
A "Googolplex" would be like 10\^10\^10
So when is the cross?
#technology
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