Septynioliktainė skaičiavimo sistema

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Pradedant aštuonioliktaine skaičiavimo sistema, skaičių simboliams < 10(10) pridedamas kairėje papildomas nulis ir tokiu būdų iki 17(10) naudojami dviženkliai simboliai, atskirti tarpusavyje dvitaškiu (:). Dvitaškis nenaudojamas iki 17(10), t.y. 00(18) - 17(18) Tuo tarpu iki septynioliktanės sistemos skaičiai sudaromi analogiškai, kaip ir dešimtainėje sistemoje, tik skaičiams 10(10) naudojamas pakaitinis simbolis A(17), 11(10) - B(17), 12(10) - C(17), 13(10) - D, 14(10) - E, 15(10) - F, 16(10) - G.

Skaičių eilė[edit]

Skaičių eilė (* paženklinti pirminiai, ** n-laipsniu pakelti pirminiai skaičiai)
0, 1, 2*, 3*, 4**, 5*, 6, 7*, 8**, 9**, A, B*, C, D*, E, F, G**, 10*,

11, 12*, 13, 14, 15, 16*, 17, 18**, 19, 1A**, 1B, 1C*, 1D, 1E*, 1F**, 1G, 20,

21, 22, 23*, 24, 25, 26, 27*, 28, 29*, 2A, 2B, 2C, 2D*, 2E, 2F**, 2G, 30,

31, 32*, 33, 34, 35, 36, 37, 38*, 39, 3A*, 3B, 3C, 3D**, 3E, 3F, 3G*, 40,

41, 42, 43*, 44, 45*, 46, 47, 48, 49, 4A, 4B*, 4C, 4D**, 4E, 4F*, 4G, 50,

51, 52, 53, 54*, 55, 56, 57, 58, 59, 5A, 5B, 5C*, 5D, 5E, 5F, 5G*, 60,

61*, 62, 63, 64, 65*, 66, 67*, 68, 69, 6A, 6B*, 6C, 6D, 6E, 6F, 6G, 70,

71, 72**, 73, 74, 75, 76**, 77, 78*, 79**, 7A, 7B, 7C*, 7D, 7E, 7F, 7G, 80,

81*, 82, 83*, 84, 85, 86, 87, 88, 89, 8A, 8B, 8C, 8D*, 8E, 8F*, 8G, 90,

91, 92, 93, 94*, 95, 96, 97, 98, 99, 9A*, 9B, 9C, 9D, 9E*, 9F, 9G**, A0,

A1, A2, A3*, A4, A5, A6, A7, A8, A9*, AA, AB*, AC, AD, AE, AF, AG, B0,

B1, B2, B3, B4*, B5, B6*, B7, B8, B9, BA*, BB, BC*, BD, BE, BF, BG, C0,

C1, C2, C3, C4, C5, C6, C7*, C8, C9, CA, CB, CC, CD, CE, CF, CG, D0,

D1, D2*, D3, D4, D5, D6*, D7, D8*, D9, DA, DB, DC*, DD, DE, DF, DG, E0,

E1*, E2, E3*, E4, E5**, E6, E7, E8, E9, EA, EB, EC, ED*, EE, EF, EG, F0,

F1**, F2*, F3, F4, F5, F6, F7, F8*, F9, FA, FB, FC, FD, FE*, FF, FG*, G0,

G1, G2, G3, G4, G5*, G6, G7, G8, G9*, GA, GB*, GC, GD, GE, GF, GG, 100**,

101, 102, 103, 104*, 105, 106, 107, 108, 109, 10A, 10B, ...

...

Daugybos lentelė[edit]

Septynioliktainės sistemos daugybos lentelė
× 1 2 3 4 5 6 7 8 9 A B C D E F G 10 11 12 13
1 1 2 3 4 5 6 7 8 9 A B C D E F G 10 11 12 13
2 2 4 6 8 A C E G 11 13 15 17 19 1B 1D 1F 20 22 24 26
3 3 6 9 C F 11 14 17 1A 1D 1G 22 25 28 2B 2E 30 33 36 39
4 4 8 C G 13 17 1B 1F 22 26 2A 2E 31 35 39 3D 40 44 48 4C
5 5 A F 13 18 1D 21 26 2B 2G 34 39 3E 42 47 4C 50 55 5A 5F
6 6 C 11 17 1D 22 28 2E 33 39 3F 44 4A 4G 55 5B 60 66 6C 71
7 7 E 14 1B 21 28 2F 35 3C 42 49 4G 56 5D 63 6A 70 77 7E 84
8 8 G 17 1F 26 2E 35 3D 44 4C 53 5B 62 6A 71 79 80 88 8G 97
9 9 11 1A 22 2B 33 3C 44 4D 55 5E 66 6F 77 7G 88 90 99 A1 AA
A A 13 1D 26 2G 39 42 4C 55 5F 68 71 7B 84 8E 97 A0 AA B3 BD
B B 15 1G 2A 34 3F 49 53 5E 68 72 7D 87 91 9C A6 B0 BB C5 CG
C C 17 22 2E 39 44 4G 5B 66 71 7D 88 93 9F AA B5 C0 CC D7 E2
D D 19 25 31 3E 4A 56 62 6F 7B 88 93 9G AC B8 C4 D0 DD E9 F5
E E 1B 28 35 42 4G 5D 6A 77 84 91 9F AC B9 C6 D3 E0 EE FB G8
F F 1D 2B 39 47 55 63 71 7G 8E 9C AA B8 C6 D4 E2 F0 FF GD 10B
G G 1F 2E 3D 4C 5B 6A 79 88 97 A6 B5 C4 D3 E2 F1 G0 GG 10F 11E
10 10 20 30 40 50 60 70 80 90 A0 B0 C0 D0 E0 F0 G0 100 110 120 130

Pirminiai skaičiai-repunitai[edit]

  • Pirminiai skaičiai septynioliktainėje sistemoje susidedantys iš p vienetų, kur p yra šie: 3, 5, 7, 11, 47, 71, 419, 4799...

Pirminių skaičių atvirkštinės reikšmės[edit]

  • Pirminių skaičių atvirkštinės reikšmės (1/p); bei visų iki 19 skaičių atvirkštinės reikšmės (1/n) (ir kai kurių pasirinktų)...

l.p. - periodo ilgis; pp=priešperiodė

2: 0,888888888888... l.p. = 1

3: 0,5B5B5B5B5B5B... l.p. = 2

4: 0,444444444444... l.p. = 1

5: 0,36DA36DA36DA... l.p. = 4

6: 0,2E2E2E2E2E2E... l.p. = 2

7: 0,274E9C274E9C... l.p. = 6

8: 0,222222222222... l.p. = 1

9: 0,1F1F1F1F1F1F... l.p. = 2

10: 0,1BF51BF51BF5... l.p. = 4

11: 0,194ADF7C63... l.p. = 10

12: 0,171717171717... l.p. = 2

13: 0,153FBD153FBD... l.p. = 6

14: 0,13AFD613AFD6... l.p. = 6

15: 0,124912491249... l.p. = 4

16: 0,111111111111... l.p. = 1

17: 0,100000000000... l.p. = 0+1pp

18: 0,0G0G0G0G0G0G... l.p. = 2

19: 0,0F39E5648... l.p. = 9

23: 0,0C9A5F8ED52G... l.p. = 22

25: 0,0B98E4CFAEG5... l.p. = 20

27: 0,0ABG650ABG65... l.p. = 6

29: 0,09G709G709G7... l.p. = 4

31: 0,09583E469EDC... l.p. = 30

32: 0,090909090909... l.p. = 2

37: 0,07DD58C6F2CE... l.p. = 36

41: 0,070E1B356AD4... l.p. = 40

43: 0,06C45FDE3G39... l.p. = 21

47: 0,06290C5117A2... l.p. = 23

53: 0,057BECE1FC33... l.p. = 26

59: 0,04F4A65CG737... l.p. = 29

61: 0,04C935E8623F... l.p. = 60

67: 0,04559F3DBFC7... l.p. = 33

71: 0,04135GCFDB... l.p. = 10

73: 0,03G521AC1EB6... l.p. = 24

79: 0,03B33EE71C48... l.p. = 26

81: 0,039B21B93GD7... l.p. = 18

83: 0,03834C1765FG... l.p. = 41

89: 0,034377AF18GA... l.p. = 44

97: 0,02GB0BFA2DB6... l.p. = 96

101: 0,02EAFGE261... l.p. = 10

103: 0,02DBF05A6D0B... l.p. = 51

107: 0,02BF9BCED3305... l.p. = 106

109: 0,02B1439GBBE8... l.p. = 36

113: 0,029821DBC84B... l.p. = 112

121: 0,026A460BG04D... l.p. = 110

127: 0,024BAGA2G113... l.p. = 63

128: 0,02468ACF02468ACF... l.p. = 8

131: 0,02389A44DAAF... l.p. = 130

137: 0,021EAFAD8FF04... l.p. = 68

139: 0,0215ED9D5AAF... l.p. = 138

149: 0,01FG941E09BE... l.p. = 37

151: 0,01F9207B281D... l.p. = 75

...

Atvirkštinių reikšmių periodų ilgiai (l.p.) 3 - 49[edit]

307: 0,00G00G00G00G... l.p. = 3

5, 29 žr. aukščiau: ... l.p. = 4

88741: ... l.p. = 5

25646167: ... l.p. = 7

41761: ... l.p. = 8

1270657: ... l.p. = 9

11, 71, 101 viz nahoře: ... l.p. = 10

2141993519227: ... l.p. = 11

83233: ... l.p. = 12

212057: ... l.p. = 13

2919196853: ... l.p. = 13

22796593: ... l.p. = 14

6566760001: ... l.p. = 15

18913: ... l.p. = 16

184417: ... l.p. = 16

10949: ... l.p. = 17

1749233: ... l.p. = 17

2699538733: ... l.p. = 17

1423: ... l.p. = 18

5653: ... l.p. = 18

229: 0,0147C43FF13348GBG32: ... l.p. = 19

1103: ... l.p. = 19

202607147: ... l.p. = 19

291973723: ... l.p. = 19

21881: ... l.p. = 20

63541: ... l.p. = 20

13567: ... l.p. = 21

940143709: ... l.p. = 21

947: ... l.p. = 22

87415373: ... l.p. = 22

26552618219228090162977481: ... l.p. = 23

1321: ... l.p. = 24

72337: ... l.p. = 24

2551: ... l.p. = 25

5351: ... l.p. = 25

26278001: ... l.p. = 25

11330289301: ... l.p. = 25

65651: ... l.p. = 26

2001793: ... l.p. = 26

433: ... l.p. = 27

24733: ... l.p. = 27

1313154695584063: ... l.p. = 27

5766433: ... l.p. = 28

100688449: ... l.p. = 28

7193: ... l.p. = 29

6088087: ... l.p. = 29

11658852700685942029849: ... l.p. = 29

238212511: ... l.p. = 30

4093: ... l.p. = 31

6123493: ... l.p. = 31

347340647626008901939025023: ... l.p. = 31

257: ... l.p. = 32

1801601: ... l.p. = 32

52548582913: ... l.p. = 32

3697: ... l.p. = 33

976669: ... l.p. = 33

15814892288119: ... l.p. = 33

45957792327018709121: ... l.p. = 34

966211: ... l.p. = 35

21998621: ... l.p. = 35

15030659834591591: ... l.p. = 35

181: 0,01A278C861D5C6... l.p. = 36

2089: ... l.p. = 36

382069: ... l.p. = 36

223: 0,0150913C8928D0A... l.p. = 37

101691604559540581: ... l.p. = 37

6218882581209875638403: ... l.p. = 37

457: ... l.p. = 38

1559: ... l.p. = 38

2927: ... l.p. = 38

312931: ... l.p. = 38

20352763: ... l.p. = 38

212057: ... l.p. = 39

2919196853: ... l.p. = 39

1186844128302568601: ... l.p. = 40

892079: ... l.p. = 41

13365673: ... l.p. = 41

960217114820653: ... l.p. = 41

18469031047049514697: ... l.p. = 41

88109799136087: ... l.p. = 42

1549: ... l.p. = 43

3075877724153666279633: ... l.p. = 43

1064542861270580708122635671: ... l.p. = 43

25741: ... l.p. = 44

256152733: ... l.p. = 44

6901823633: ... l.p. = 44

3691: ... l.p. = 45

33931: ... l.p. = 45

316531: ... l.p. = 45

1674271: ... l.p. = 45

5113320301: ... l.p. = 45

1109309383381084655697725873: ... l.p. = 46

423622795798733187216959754496018087627393990881167960767: ... l.p. = 47

48661191868691111041: ... l.p. = 48

491: ... l.p. = 49

883: ... l.p. = 49

474969439337: ... l.p. = 49

1094794793219: ... l.p. = 49

21174546269742403551077: ... l.p. = 49

Atvirkštinių reikšmių periodų ilgiai (l.p.) 50 - 99[edit]

4064228544226537005066401: ... l.p. = 50

409: ... l.p. = 51

162260934541944127: ... l.p. = 51

326099734864828369: ... l.p. = 51

19825313: ... l.p. = 52

1224199237: ... l.p. = 52

13938043025453: ... l.p. = 52

4375997670680275555605273053: ... l.p. = 53

2336661313161818672990011193252900057: ... l.p. = 53

163: 0,01D26D42FAG2... l.p. = 54

28758863909916435817: ... l.p. = 54

15357101: ... l.p. = 55

3332897591: ... l.p. = 55

962619789378941: ... l.p. = 55

315531140147973311: ... l.p. = 55

2801: ... l.p. = 56

15121: ... l.p. = 56

12876020081: ... l.p. = 56

622434484561: ... l.p. = 56

6162410920417: ... l.p. = 57

30211339578587520100541032742977: ... l.p. = 57

349: ... l.p. = 58

23549: ... l.p. = 58

2919779: ... l.p. = 58

18032534719: ... l.p. = 58

61878754061: ... l.p. = 58

1063: ... l.p. = 59

1889: ... l.p. = 59

1365581260423071390161: ... l.p. = 59

90008517325328860435221505121015340220148461: ... l.p. = 59

541: ... l.p. = 60

1479639031521241: ... l.p. = 60

15103230859721: ... l.p. = 61

4722743517602912319810923441122498349478034813612513477513781: ... l.p. = 61

373: ... l.p. = 62

36845423: ... l.p. = 62

563056114507738352440487747: ... l.p. = 62

41643373496311819: ... l.p. = 63

37387216988215606147063933: ... l.p. = 63

1409: ... l.p. = 64

165569: ... l.p. = 64

5075110114734021328723863149761: ... l.p. = 64

9882731: ... l.p. = 65

42774218980741: ... l.p. = 65

256543213498592579101758761102741785511: ... l.p. = 65

199: ... l.p. = 66

991: ... l.p. = 66

48973: ... l.p. = 66

11372329: ... l.p. = 66

39172453: ... l.p. = 66

436171: ... l.p. = 67

3947307526766022401589857104042951617118791047554203106309872173198737769977: ... l.p. = 67

1361: ... l.p. = 68

2698649: ... l.p. = 68

1002402000793: ... l.p. = 68

4678410332263673: ... l.p. = 68

25225573: ... l.p. = 69

9559382330644273: ... l.p. = 69

5385687325711213602812791946461: ... l.p. = 69

701: ... l.p. = 70

512718953215732865581052501: ... l.p. = 70

143798195172461138521036839345269251740737334259640879028155379795667047030720519999127: ... l.p. = 71

28639368230833: ... l.p. = 72

11852519531110417: ... l.p. = 72

293: ... l.p. = 73

1621745371: ... l.p. = 73

3038535503: ... l.p. = 73

319344640907: ... l.p. = 73

596137412912777: ... l.p. = 73

151192644932534555018760925054337887684171: ... l.p. = 73

1481: ... l.p. = 74

2591: ... l.p. = 74

172683287783: ... l.p. = 74

281880352305551730895009697: ... l.p. = 74

151: 0,01F9207B281DA9... l.p. = 75

5101: ... l.p. = 75

1995937064371951: ... l.p. = 75

10744282911799904868353724301: ... l.p. = 75

247381: ... l.p. = 76

796699736849174247608318245316124490909: ... l.p. = 76

63183887777606431620036734659574373415341987361849452469359581232953058529: ... l.p. = 77

1249: ... l.p. = 78

1837708051687: ... l.p. = 78

12042786858259: ... l.p. = 78

2371: ... l.p. = 79

8849: ... l.p. = 79

32233: ... l.p. = 79

95294351981: ... l.p. = 79

15565073214383744299753594766453955551010962009527408014734638227062006641: ... l.p. = 79

241: 0,013698F1A9EF07... l.p. = 80

3583912721: ... l.p. = 80

2741517463686662290741112321: ... l.p. = 80

6770748529: ... l.p. = 81

454194717025663: ... l.p. = 81

904405077653173242898527606595551272070589: ... l.p. = 81

1231: ... l.p. = 82

62919257: ... l.p. = 82

18798033503: ... l.p. = 82

76203249126187: ... l.p. = 82

140606605811723: ... l.p. = 82

186917: ... l.p. = 83

1441585450365875501: ... l.p. = 83

859764623611313847689900219: ... l.p. = 83

361636059093059401270170190932275191488900255093209: ... l.p. = 83

1093: ... l.p. = 84

311640640511791392291238477: ... l.p. = 84

5441: ... l.p. = 85

208931: ... l.p. = 85

22296011: ... l.p. = 85

24543581: ... l.p. = 85

4939937011021: ... l.p. = 85

7517339434046845421: ... l.p. = 85

228438898023070765592141: ... l.p. = 85

8171: ... l.p. = 86

279119267104661: ... l.p. = 86

1976815271971094795525780184146983: ... l.p. = 86

523: ... l.p. = 87

8179: ... l.p. = 87

16879: ... l.p. = 87

37286983: ... l.p. = 87

52627759112497: ... l.p. = 87

5340455877669348272609426509595308057: ... l.p. = 87

353: ... l.p. = 88

4578289: ... l.p. = 88

10220537742525964173135803376631640231153: ... l.p. = 88

179: ... l.p. = 89

7121: ... l.p. = 89

10859: ... l.p. = 89

2220161311: ... l.p. = 90

152924817473166888991: ... l.p. = 90

513059: ... l.p. = 91

986802324691: ... l.p. = 91

1128882253376333: ... l.p. = 91

633917591815554047: ... l.p. = 91

101604859007816647702158801323372000819: ... l.p. = 91

1511845630837: ... l.p. = 92

909379032187982366535129290548012827355069: ... l.p. = 92

23125381: ... l.p. = 93

32914090064285401: ... l.p. = 93

4083338668402072819: ... l.p. = 93

20333334196989020875813546533751: ... l.p. = 93

376553596265540610859519781774238300113239103005482631793: ... l.p. = 94

191: 0,018C4DC0492E72... l.p. = 95

243888371: ... l.p. = 95

790258628122415702756879695009414803659288068090984593801128670245440884276421: ... l.p. = 95

1120513: ... l.p. = 96

53160769: ... l.p. = 96

80592097: ... l.p. = 96

5085025550848897: ... l.p. = 96

389: ... l.p. = 97

90976939813: ... l.p. = 97

438263590967631109: ... l.p. = 97

65888627940954399173: ... l.p. = 97

13803798418776916198818932565461346902705841274674397535895798620689: ... l.p. = 97

711954517: ... l.p. = 98

1465198716273377: ... l.p. = 98

4576209702754960230170484653: ... l.p. = 98

48907: ... l.p. = 99

7298280793: ... l.p. = 99

53203926799: ... l.p. = 99

3534366624825269090846591317571377816092437915221: ... l.p. = 99

Atvirkštinių reikšmių periodų ilgiai (l.p.) 100 - 149[edit]

5801: ... l.p. = 100

88301: ... l.p. = 100

373207301: ... l.p. = 100

17280974612770188922074220577701: ... l.p. = 100

10303: ... l.p. = 101

70297: ... l.p. = 101

41605133: ... l.p. = 101

1103896660507: ... l.p. = 101

88296018585184110466501207935829: ... l.p. = 101

401147537108874086654734118920936569436864061975969943839772089: ... l.p. = 101

17341: ... l.p. = 102

14055956389: ... l.p. = 102

45628367677: ... l.p. = 102

225388217073157: ... l.p. = 102

...

Taip pat žiūrėkite[edit]