Date: Wed, 15 Mar 00 17:44:15 EST
From: Dan Hoey <Hoey@AIC.NRL.Navy.Mil>
To: spears@AIC.NRL.Navy.Mil
Subject: more math

> The transformation I use to go from base 3 to balanced base 3
> is to convert a 2 to a 0 and add 1 to the next higher order digit.

Change 2 to -1 and add 1 to the next higher digit.
Another way is to add (3^n-1)/2 and subtract one from every digit.

> I just played with it and it looks as if to go from base 5 to
> balanced base 5 (-2, -1, 0, 1, 2) one converts a 3 to a -2, or
> a 4 to a -1, and then add 1 to the next higher order digit.

Yes, or add (5^n-1)/2 and subtract 2 from every digit.

The cute thing is to design a circuit to add two balanced numbers.
I don't remember if you can do it from right to left or not.

Dan