Re: [math-fun] Irrational-base representation (e optimal)
4 Mar
2003
4 Mar
'03
2:13 p.m.
=Kerry Mitchell There was some research done and reported last year of so about e being the optimal base.
This is an old chestnut. I wouldn't be surprised if it dates back at least to Claude Shannon. So, since 3 is closer to e than 2 is, I guess ternary is "better" than binary? I think Knuth talks about this too...
4 Mar
4 Mar
2:40 p.m.
New subject: [math-fun] Irrational-base representation (e optimal)
The Soviets built some ternary computers in the 1950s and early 60s - Razdan 3 is the name of one of them. A ternary computer uses fewer transistors in a register than a binary or quaternary computer. However, I'd bet that the requirements on signal strength and shape are larger for a ternary computer than for a binary computer. Therefore, the binary computer would use more transistors but would be faster.
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