Číselné soustavy/Soustava o základu 32
 Tato stránka je součástí databáze a projektu:
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{cs}
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| Příslušnost: Kusurija | |
Neboli dvaatřicítková soustava. Toto je 100 % vlastní výzkum. Ne, že by informace, zde uvedené, nebyly dosud známy (naprostá většina z nich je známa od starověku; vlastním výzkumem je seřazení/prezentace těch informací a naznačené souvislosti mezi nimi. Dvaatřicítková soustava je mocninová, proto většinu informací lze nalézt ve dvojkové soustavě. Obdobné mocninové soustavy čtyřková, osmičková a šestnáctková mají s dvaatřicítkovou společné pouze to, co mají společného i právě uvedené mocninové soustavy s dvojkovou soustavou (protože exponenty jsou nesoudělné). kusurija.
Pro číslice menší než 10(10) jsou (počínaje osmnáctkovou soustavou) používány náhradní symboly s přidanou nulou (0) vpředu a i pro číslice vyšší jsou používány dvojčíselné symboly. Navzájem jsou symboly odděleny dvojtečkou s výjimkou čísel jednosymbolových, tedy 00(32) - 31(32).
Číselná řada
[editovat]- Číselná řada
00, 01, 02*, 03*, 04**, 05*, 06, 07*, 08**, 09**, 10, 11*, 12, 13*, 14, 15, 16**, 17*, 18, 19*, 20, 21, 22, 23*, 24, 25**, 26, 27**, 28, 29*, 30, 31*, 01:00**,
01:01, 01:02, 01:03, 01:04, 01:05*, 01:06, 01:07, 01:08, 01:09*, 01:10, 01:11*, 01:12, 01:13, 01:14, 01:15*, 01:16, 01:17**, 01:18, 01:19, 01:20, 01:21*, 01:22, 01:23, 01:24, 01:25, 01:26, 01:27*, 01:28, 01:29*, 01:30, 01:31, 02:00**,
02:01, 02:02, 02:03*, 02:04, 02:05, 02:06, 02:07*, další členy řady viz tabulky ...
Malá násobilka
[editovat]| × | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 01 | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 02 | 02 | 04 | 06 | 08 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 01:00 | 01:02 | 01:04 | 01:06 | 01:08 |
| 03 | 03 | 06 | 09 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 01:01 | 01:04 | 01:07 | 01:10 | 01:13 | 01:16 | 01:19 | 01:22 | 01:25 | 01:28 |
| 04 | 04 | 08 | 12 | 16 | 20 | 24 | 28 | 01:00 | 01:04 | 01:08 | 01:12 | 01:16 | 01:20 | 01:24 | 01:28 | 02:00 | 02:04 | 02:08 | 02:12 | 02:16 |
| 05 | 05 | 10 | 15 | 20 | 25 | 30 | 01:03 | 01:08 | 01:13 | 01:18 | 01:23 | 01:28 | 02:01 | 02:06 | 02:11 | 02:16 | 02:21 | 02:26 | 02:31 | 03:04 |
| 06 | 06 | 12 | 18 | 24 | 30 | 01:04 | 01:10 | 01:16 | 01:22 | 02:28 | 02:02 | 02:08 | 02:14 | 02:20 | 02:26 | 03:00 | 03:06 | 03:12 | 03:18 | 03:24 |
| 07 | 07 | 14 | 21 | 28 | 01:03 | 01:10 | 01:17 | 01:24 | 01:31 | 02:06 | 02:13 | 02:20 | 02:27 | 03:02 | 03:09 | 03:16 | 03:23 | 03:30 | 04:05 | 04:12 |
| 08 | 08 | 16 | 24 | 01:00 | 01:08 | 01:16 | 01:24 | 02:00 | 02:08 | 02:16 | 02:24 | 03:00 | 03:08 | 03:16 | 03:24 | 04:00 | 04:08 | 04:16 | 04:24 | 05:00 |
| 09 | 09 | 18 | 27 | 01:04 | 01:13 | 01:22 | 01:31 | 02:08 | 02:17 | 02:26 | 03:03 | 03:12 | 03:21 | 03:30 | 04:07 | 04:16 | 04:25 | 05:02 | 05:11 | 05:20 |
| 10 | 10 | 20 | 30 | 01:08 | 01:18 | 01:28 | 02:06 | 02:16 | 02:26 | 03:04 | 03:14 | 03:24 | 04:02 | 04:12 | 04:22 | 05:00 | 05:10 | 05:20 | 06:00 | 06:10 |
| 11 | 11 | 22 | 01:01 | 01:12 | 01:23 | 02:02 | 02:13 | 02:24 | 03:03 | 03:14 | 03:25 | 04:04 | 04:15 | 04:26 | 05:05 | 05:16 | 05:27 | 06:06 | 06:17 | 06:28 |
| 12 | 12 | 24 | 01:04 | 01:16 | 01:28 | 02:08 | 02:20 | 03:00 | 03:12 | 03:24 | 04:04 | 04:16 | 04:28 | 05:08 | 05:20 | 06:00 | 06:12 | 06:24 | 07:04 | 07:16 |
| 13 | 13 | 26 | 01:07 | 01:20 | 02:01 | 02:14 | 02:27 | 03:08 | 03:21 | 04:02 | 04:15 | 04:28 | 05:09 | 05:22 | 06:03 | 06:16 | 06:29 | 07:10 | 07:23 | 08:04 |
| 14 | 14 | 28 | 01:10 | 01:24 | 02:06 | 02:20 | 03:02 | 03:16 | 03:30 | 04:12 | 04:26 | 05:08 | 05:22 | 06:04 | 06:18 | 07:00 | 07:14 | 07:28 | 08:10 | 08:24 |
| 15 | 15 | 30 | 01:13 | 01:28 | 02:11 | 02:26 | 03:09 | 03:24 | 04:07 | 04:22 | 05:05 | 05:20 | 06:03 | 06:18 | 07:01 | 07:16 | 07:31 | 08:14 | 08:29 | 09:12 |
| 16 | 16 | 01:00 | 01:16 | 02:00 | 02:16 | 03:00 | 03:16 | 04:00 | 04:16 | 05:00 | 05:16 | 06:00 | 06:16 | 07:00 | 07:16 | 08:00 | 08:16 | 09:00 | 09:16 | 10:00 |
| 17 | 17 | 01:02 | 01:19 | 02:04 | 02:21 | 03:06 | 03:23 | 04:08 | 04:25 | 05:10 | 05:27 | 06:12 | 06:29 | 07:14 | 07:31 | 08:16 | 09:01 | 09:18 | 10:03 | 10:20 |
| 18 | 18 | 01:04 | 01:22 | 02:08 | 02:26 | 03:12 | 03:30 | 04:16 | 05:02 | 05:20 | 06:06 | 06:24 | 07:10 | 07:28 | 08:14 | 09:00 | 09:18 | 10:04 | 10:22 | 11:08 |
| 19 | 19 | 01:06 | 01:25 | 02:12 | 02:31 | 03:18 | 04:05 | 04:24 | 05:11 | 05:30 | 06:17 | 07:04 | 07:23 | 08:10 | 08:29 | 09:16 | 10:03 | 10:22 | 11:09 | 11:28 |
| 20 | 20 | 01:08 | 01:28 | 02:16 | 03:04 | 03:24 | 04:12 | 05:00 | 05:20 | 06:08 | 06:28 | 07:16 | 08:04 | 08:24 | 09:12 | 10:00 | 10:20 | 11:08 | 11:28 | 12:16 |
| 21 | 21 | 01:10 | 01:31 | 02:20 | 03:09 | 03:30 | 04:19 | 05:08 | 05:29 | 06:18 | 07:07 | 07:28 | 08:17 | 09:06 | 09:27 | 10:16 | 11:05 | 11:26 | 12:15 | 13:04 |
| 22 | 22 | 01:12 | 02:02 | 02:24 | 03:14 | 04:04 | 04:26 | 05:16 | 06:06 | 06:28 | 07:18 | 08:08 | 08:30 | 09:20 | 10:10 | 11:00 | 11:22 | 12:12 | 13:02 | 13:24 |
| 23 | 23 | 01:14 | 02:05 | 02:28 | 03:19 | 04:10 | 05:01 | 05:24 | 06:15 | 07:06 | 07:29 | 08:20 | 09:11 | 10:02 | 10:25 | 11:16 | 12:07 | 12:30 | 13:21 | 14:12 |
| 24 | 24 | 01:16 | 02:08 | 03:00 | 03:24 | 04:16 | 05:08 | 06:00 | 06:24 | 07:16 | 08:08 | 09:00 | 09:24 | 10:16 | 11:08 | 12:00 | 12:24 | 13:16 | 14:08 | 15:00 |
| 25 | 25 | 01:18 | 02:11 | 03:04 | 03:29 | 04:22 | 05:15 | 06:08 | 07:01 | 07:26 | 08:17 | 09:12 | 10:05 | 10:30 | 11:23 | 12:16 | 13:09 | 14:02 | 14:27 | 15:18 |
| 26 | 26 | 01:20 | 02:14 | 03:08 | 04:02 | 04:28 | 05:22 | 06:16 | 07:10 | 08:04 | 08:30 | 09:24 | 10:18 | 11:12 | 12:06 | 13:00 | 13:26 | 14:20 | 15:14 | 16:08 |
| 27 | 27 | 01:22 | 02:17 | 03:12 | 04:07 | 05:02 | 05:29 | 06:24 | 07:19 | 08:14 | 09:09 | 10:04 | 10:31 | 11:26 | 12:21 | 13:16 | 14:11 | 15:06 | 16:01 | 16:28 |
| 28 | 28 | 01:24 | 02:20 | 03:16 | 04:12 | 05:08 | 06:04 | 07:00 | 07:28 | 08:24 | 09:20 | 10:16 | 11:12 | 12:08 | 13:04 | 14:00 | 14:28 | 15:24 | 16:20 | 17:16 |
| 29 | 29 | 01:26 | 02:23 | 03:20 | 04:17 | 05:14 | 06:11 | 07:08 | 08:05 | 09:02 | 09:31 | 10:28 | 11:25 | 12:22 | 13:19 | 14:16 | 15:13 | 16:10 | 17:07 | 18:04 |
| 30 | 30 | 01:28 | 02:26 | 03:24 | 04:22 | 05:20 | 06:18 | 07:16 | 08:14 | 09:12 | 10:00 | 11:08 | 12:06 | 13:04 | 14:02 | 15:00 | 15:30 | 16:28 | 17:26 | 18:24 |
| 31 | 31 | 01:30 | 02:29 | 03:28 | 04:27 | 05:26 | 06:25 | 07:24 | 08:23 | 09:22 | 10:21 | 11:20 | 12:19 | 13:18 | 14:17 | 15:16 | 16:15 | 17:14 | 18:13 | 19:12 |
| 01:00 | 01:00 | 02:00 | 03:00 | 04:00 | 05:00 | 06:00 | 07:00 | 08:00 | 09:00 | 10:00 | 11:00 | 12:00 | 13:00 | 14:00 | 15:00 | 16:00 | 17:00 | 18:00 | 19:00 | 20:00 |
Převrácené hodnoty prvočísel
[editovat]- Převrácené hodnoty prvočísel (1/p); do 11 všech čísel (1/n) a vybraných součinů.
l.p. - délka periody; pp=předperioda
2: 00,16:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
3: 00,10:21:10:21:10:21:10:21:10:21:10:21... l.p. = 2
4: 00,08:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
5: 00,06:12:25:19:06:12:25:19:06:12:25:19... l.p. = 4
6: 00,05:10:21:10:21:10:21:10:21:10:21:10:21... l.p. = 2+1pp
7: 00,04:18:09:04:18:09:04:18:09:04:18:09... l.p. = 3
8: 00,04:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
9: 00,03:17:24:28:14:07:03:17:24:28:14:07... l.p. = 6
10: 00,03:06:12:25:19:06:12:25:19:06:12:25:19... l.p. = 4+1pp
11: 00,02:29:02:29:02:29:02:29:02:29:02:29... l.p. = 2
13: 00,02:14:24:19:22:04:29:17:07:12:09:27... l.p. = 12
16: 00,02:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
17: 00,01:28:07:16:30:03:24:15... l.p. = 8
19: 00,01:21:28:20:06:23:18:16:26:30:10:03:11:25:08:13:15:05... l.p. = 18
20: 00,01:19:06:12:25:19:06:12:25:19:06:12:25... l.p. = 4+1pp
23: 00,01:12:16:22:08:11:04:05:18:02:25... l.p. = 11
25: 00,01:08:30:23:01:08:30:23:01:08:30:23... l.p. = 4
27: 00,01:05:29:20:04:23:22:16:18:30:26:02... l.p. = 18
29: 00,01:03:09:29:25:12:04:13:07:23:05:16... l.p. = 28
31: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1
32: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
33: 00,00:31:00:31:00:31:00:31:00:31:00:31... l.p. = 2
37: 00,00:27:21:19:28:17:09:16:13:26:25:30... l.p. = 36
41: 00,00:24:31:07:00:24:31:07:00:24:31:07... l.p. = 4
43: 00,00:23:26:01:15:20:02:31:08:05:30:16:11:29... l.p. = 14
47: 00,00:21:25:06:04:02:23:04:24:16:10:28... l.p. = 23
49: 00,00:20:28:23:16:10:14:11:24:05:07:05... l.p. = 21
53: 00,00:19:10:08:14:15:22:10:27:24:24:04... l.p. = 52
59: 00,00:17:11:12:15:05:30:29:09:07:01:20... l.p. = 58
61: 00,00:16:25:05:24:20:31:15:06:26:07:11... l.p. = 12
67: 00,00:15:09:02:12:13:11:30:02:27:22:14... l.p. = 66
71: 00,00:14:13:16:21:20:09:00:14:13:16:21:20:09... l.p. = 7
73: 00,00:14:00:28:01:24:03:16:07... l.p. = 9
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Další lze snadno odvodit z údajů o dvojkové soustavě: délky period jsou pětinové, nežli délky period dělitelné pěti ve dvojkové soustavě a stejné, jako délky period nedělitelné pěti ve dvojkové soustavě...