Hi all,

Just courious on a reflected numeric system. I've read an old book
"understanding digital computers" in which Paul Siegel* speak about
positional numeric systems. Talking about some dificulties in loops counters
in which all digits must change (199999 --> 200000) he says that the
solution is a numeric system in a reflexed manner. (Sorry, the text is in
Spanish, and I am trying to re-translate it to you, with my bad grammar.)

It means that no matter how many digits has the number, the adjacent number
in the refelxed form, will change in only one digit.


Can anyone point me where can I find some theory on the net?
Is it some how practical for our loop counters on pics programming?
how can it be implemented?,... don't answer this.(I want to try alone
first!:)

example:
decimal  decimal    binary
         reflected  reflected
0         0           0
1         1           1
2         2          11
3         3          10
4         4         110
5         5         111
6         6         101
7         7         100
8         8        1100
9         9        1101
10       19        1111
11       18        1110
12       17        1010
13       16        1011
14       15        1001
15       14        1000
16       13       11000
17       12       11001
18       11       11011
19       10       11010
20       20       11110
21       21       11111
22       22       11101
23       23       11100
24       24       10100
25       25       10101
26       26       10111
27       27       10110
28       28       10010


(*)Paul Siegel author of "Understanding Digital Computers" Ed. Jhon Wiley &
Sons, INC - New York ~1956? pretty old, ah?


Dennis Crawley
Argentina

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