1 00:00:00,000 --> 00:00:05,511 2 00:00:05,511 --> 00:00:08,510 DOUG LLYOYD: So hexadecimal numerus, Sicut si numeri turpis eguisse 3 00:00:08,510 --> 00:00:09,970 recta ratio? 4 00:00:09,970 --> 00:00:13,000 Bene, maxime Western culturis, sicut vos forsit familiar, 5 00:00:13,000 --> 00:00:16,560 uti decimales system-- base X, ad repraesentandum numerorum data. 6 00:00:16,560 --> 00:00:20,520 Habemus digitis 0, I, II, III, V, VI, 7,8,9. 7 00:00:20,520 --> 00:00:23,890 Et si nos postulo ut repraesentant aestimet superior quam novem, 8 00:00:23,890 --> 00:00:26,800 possumus miscere illis digits usura notione locum valorem. 9 00:00:26,800 --> 00:00:30,115 Ita X, habemus I digit secuutus per a 0 digit 10 00:00:30,115 --> 00:00:32,240 et intuitive intelligere quod nos 'effectus 11 00:00:32,240 --> 00:00:35,500 ibi erant multiplicans I primum per X, 12 00:00:35,500 --> 00:00:37,689 Hinc enim totalem X et 0. 13 00:00:37,689 --> 00:00:40,480 Computers facere aliquid pulchellus simile, es forsit familiar, 14 00:00:40,480 --> 00:00:42,409 cum base system-- binariae II. 15 00:00:42,409 --> 00:00:44,700 Differentiae sit quod sint tantum II digitorum 16 00:00:44,700 --> 00:00:46,770 operari with-- I 0 et. 17 00:00:46,770 --> 00:00:49,033 Itaque valoribus loco nostro consuetudinis, instead of quod unum sint, 18 00:00:49,033 --> 00:00:52,600 decem, centum, mille, sicut et illi punctum esset ratio, 19 00:00:52,600 --> 00:00:57,690 sunt unum, duo, quatuor, octo et sic de aliis. 20 00:00:57,690 --> 00:01:00,842 Hic rem licet, iis 0 scriptor et I scriptor, praesertim 21 00:01:00,842 --> 00:01:03,800 si sumus computatrum scientists sit et multum vales programming 22 00:01:03,800 --> 00:01:06,924 vel cooperante computers, erant 'iens quia binarius numerus sit amet. 23 00:01:06,924 --> 00:01:11,660 Et 0 scriptor et I scriptor magna in catenis parse difficillime possunt. 24 00:01:11,660 --> 00:01:16,610 Non possumus intueri chorda 0 scriptor et I scriptor et scire necessario 25 00:01:16,610 --> 00:01:17,810 prorsus quid sit. 26 00:01:17,810 --> 00:01:21,980 Sed tamen posset prodesse express data eodem modo 27 00:01:21,980 --> 00:01:23,480 a computer quod facit. 28 00:01:23,480 --> 00:01:26,580 Habemus haec notio of the hexadecimal ratio, quae est 29 00:01:26,580 --> 00:01:29,840 base XVI, pro basi X vel base II. 30 00:01:29,840 --> 00:01:34,420 Et propter hoc digitis XVI X vel non operari II. 31 00:01:34,420 --> 00:01:37,180 Quod suus 'multo magis concise modo exprimere 32 00:01:37,180 --> 00:01:41,210 binariae notitia in a computer ratio, Quanto humanius est comprehensibilis. 33 00:01:41,210 --> 00:01:43,520 Sic habemus digiti Per IX 0, et tunc 34 00:01:43,520 --> 00:01:49,480 nos haec extra sex digits-- a, b, c, d, e, f, quae repraesentant X, 35 00:01:49,480 --> 00:01:56,050 notio X, XI, XII, XIII, XIV et XV in decimales. 36 00:01:56,050 --> 00:01:59,787 Aliquando per longissimos viae circuitus youll etiam videritis haec a per f pro capitali receptum A 37 00:01:59,787 --> 00:02:01,620 per F, quod est quemadmodum solent facere. 38 00:02:01,620 --> 00:02:04,560 Suus 'iustus meus maluit scribendi, aut denique 39 00:02:04,560 --> 00:02:07,870 Videruntque ambo repraesentant pulchellus multa idem. 40 00:02:07,870 --> 00:02:09,090 >> Quare est hexadecimal frigus? 41 00:02:09,090 --> 00:02:11,580 Quid adhuc desideramus uti alia additional basi? 42 00:02:11,580 --> 00:02:14,310 Iam habemus II et X, XVI quid opus est? 43 00:02:14,310 --> 00:02:21,650 XVI II est virtus bene et singulis hexadecimal digiti, per 0 f, 44 00:02:21,650 --> 00:02:25,440 correspondet a unique ordinatio, sive unique dispositio 45 00:02:25,440 --> 00:02:29,060 of IV binarii digitorum, IV scissionibus. 46 00:02:29,060 --> 00:02:34,570 Et secundum hoc, possumus dicere longa multiplex binario numero 47 00:02:34,570 --> 00:02:36,440 in hexadecimal in a multo magis enunciatio, 48 00:02:36,440 --> 00:02:41,080 amittens sine notitia vel habens facere maxime gravia conversiones 49 00:02:41,080 --> 00:02:42,480 in numeris illis dominentur. 50 00:02:42,480 --> 00:02:44,880 >> Et sicut supra dictum est, singulis hexadecimal digiti 51 00:02:44,880 --> 00:02:48,630 correspondet a unique Ordinatio IV binarii constet. 52 00:02:48,630 --> 00:02:53,670 Sic binariae string 0000 correspondet hexadecimal digiti 0. 53 00:02:53,670 --> 00:03:00,340 CX correspondet hexadecimal digiti VI. 54 00:03:00,340 --> 00:03:05,225 Et MCXI correspondet ad f hexadecimal digiti. 55 00:03:05,225 --> 00:03:07,100 Si vestri 'vultus procul hoc chart, praesertim 56 00:03:07,100 --> 00:03:09,099 Si vestri 'vultus procul sinistro latere chart, 57 00:03:09,099 --> 00:03:11,970 suus iam potes videre aliquid ambiguitatis quaestio. 58 00:03:11,970 --> 00:03:15,229 Decimales 0 est pulchellus ultum indiscreta hexadecimal 0, 59 00:03:15,229 --> 00:03:18,020 praeterquam quod illi inutile, sub columnae modo dicit hexadecimal. 60 00:03:18,020 --> 00:03:22,130 >> Sed forsit non semper habetis illam columnam. 61 00:03:22,130 --> 00:03:25,420 Plerumque cum Sancto movente, in hexadecimal numeri notatio 62 00:03:25,420 --> 00:03:28,130 ut plane distinguendum est eos a decimales notatio, 63 00:03:28,130 --> 00:03:31,860 solemus praefigunt eos cum praepositione 0x. 64 00:03:31,860 --> 00:03:35,990 0x nihil est in re, ut ultricies sensus nos homines 65 00:03:35,990 --> 00:03:39,190 quod visuri sumus; aut committitur parsing, 66 00:03:39,190 --> 00:03:40,750 est hexadecimal numerus. 67 00:03:40,750 --> 00:03:45,590 Nempe superius digitorum a, b, c, d, e, 10-15 respondentes 68 00:03:45,590 --> 00:03:48,840 suus 'pulchellus indubium quod suus quod suus 'a hexadecimal numerus. 69 00:03:48,840 --> 00:03:51,620 Et in hoc, aliquo hexadecimal quod numeri litterarum in ea 70 00:03:51,620 --> 00:03:54,642 est forsit pulchellus obvious sicut hexadecimal numerus. 71 00:03:54,642 --> 00:03:56,350 Sed usque ad propter claritatem, suus ' 72 00:03:56,350 --> 00:03:58,290 semper utilem praefigunt Omni petenti te 73 00:03:58,290 --> 00:04:01,835 refer ad digit sicut hexadecimal et numerabitis eos per praepositam 0x. 74 00:04:01,835 --> 00:04:04,370 75 00:04:04,370 --> 00:04:06,810 >> Ita binarii, sicut et nos ait, locum habet valores. 76 00:04:06,810 --> 00:04:10,040 Illic 'ones loco, a bini loco, a quattuor pedes locum, et an eights loco. 77 00:04:10,040 --> 00:04:13,640 Et decimales etiam locum habet valores, in sunt decem et centeni et milleni 78 00:04:13,640 --> 00:04:15,910 ut omnes commemorare ex gradu schola. 79 00:04:15,910 --> 00:04:18,050 Et hexadecimal est exceptio hic vere. 80 00:04:18,050 --> 00:04:22,660 Sed etiam locum habet valores quod vires sive potentias X II, 81 00:04:22,660 --> 00:04:25,050 haerent virtutes XVI. 82 00:04:25,050 --> 00:04:29,410 >> Et sicut hoc videmus aliquot bella plane suus CCCXCVII iudicium 83 00:04:29,410 --> 00:04:33,420 Sed videamus plura huiusmodi scimus hoc non CCCXCVII anymore. 84 00:04:33,420 --> 00:04:36,730 Hoc est hexadecimal novem numero septem. 85 00:04:36,730 --> 00:04:39,680 Non CCCXCVII intelligitur aliud, 86 00:04:39,680 --> 00:04:44,180 quoniam erant 'usura ut omnes potentiae XVI valores pro viribus nostris loco 87 00:04:44,180 --> 00:04:45,560 of X. 88 00:04:45,560 --> 00:04:50,570 Sed hic locus esset bona Sit autem loco sixteens loco 89 00:04:50,570 --> 00:04:55,080 centum et quinquaginta duo efficiunt loco quae correspondent nostra idea a ones 90 00:04:55,080 --> 00:04:59,180 loco decuriones locum, et centuriones , si numerus CCCXCVII. 91 00:04:59,180 --> 00:05:03,620 Sed quoniam suus '0x CCCXCVII habemus a ones loco, sixteens locum, 92 00:05:03,620 --> 00:05:05,780 et gladii ancipites in loco efficiunt centum quinquaginta. 93 00:05:05,780 --> 00:05:09,460 Vel XVI ad 0, quod est I. 94 00:05:09,460 --> 00:05:12,420 A prima potentia collocaret XVI, XVI. 95 00:05:12,420 --> 00:05:17,080 A XVI loco quadrangulum, CCLVI, et sic et alia huiusmodi, et sic de aliis. 96 00:05:17,080 --> 00:05:24,400 Ita hic numerus est III temporibus XVI quadrangulum IX temporibus XVI plus, plus VII. 97 00:05:24,400 --> 00:05:28,980 Math non feci, sed quia non CCCXCVII suus, multo maius. 98 00:05:28,980 --> 00:05:34,050 >> Similiter, habere possemus 0x adc, Bene quod suus 'a temporibus XVI quadratis. 99 00:05:34,050 --> 00:05:38,220 Aut si interpretamur quae ad nostram rationem decimales numeri, ut 'X temporibus 100 00:05:38,220 --> 00:05:44,160 XVI quadratum d plus times XVI, aut plus XIII temporibus XVI. 101 00:05:44,160 --> 00:05:47,410 Et nolite in sublime si enim memoriae XIII, quod est d, aut aliquid huiusmodi, 102 00:05:47,410 --> 00:05:49,201 illic 'non multus horum litteras digits 103 00:05:49,201 --> 00:05:52,820 et ero intuitive pulchellus cito. 104 00:05:52,820 --> 00:05:59,800 Et hoc etiam est X temporibus XVI quadrangulum, plus XIII temporibus XVI plus I temporibus XII. 105 00:05:59,800 --> 00:06:03,640 Ita 0x adc. 106 00:06:03,640 --> 00:06:07,750 >> Itaque, ut dixi, omnem coetus IV binarii digits 107 00:06:07,750 --> 00:06:10,000 respondet uno hexadecimal digiti, 108 00:06:10,000 --> 00:06:12,570 et sic suus 'actu realiter facile mobiles huc atque illuc 109 00:06:12,570 --> 00:06:14,690 inter hex et binarii. 110 00:06:14,690 --> 00:06:18,310 Si filum longa binarii digitorum, omnes vos postulo efficio 111 00:06:18,310 --> 00:06:21,320 satus est adjunctio eis judicia recta, et relinquaris velut lignum coetus IV. 112 00:06:21,320 --> 00:06:26,550 Tunc vos can consolidant in hexadecimal numerus, 113 00:06:26,550 --> 00:06:30,910 severe cautum est de numero digitorum habes ad processionem mentaliter. 114 00:06:30,910 --> 00:06:33,680 Instead of XXXII 0 scriptor et I sui, ut iam in secundo 115 00:06:33,680 --> 00:06:37,630 eam petere posse ut iustus VIII hexadecimal digiti, multum 116 00:06:37,630 --> 00:06:39,200 more loquendi genus pressum. 117 00:06:39,200 --> 00:06:43,500 >> Chartis a paucis retro erit slides instar tabularum rutrum id, 118 00:06:43,500 --> 00:06:45,660 quamvis, iterum youll memorize eam pulchellus cito. 119 00:06:45,660 --> 00:06:47,320 Nos nunc per exemplum. 120 00:06:47,320 --> 00:06:51,507 Ut si fuerit numerus huiusmodi hoc vere magna binarius numerus, 121 00:06:51,507 --> 00:06:53,340 seu quod videtur esse magna numerus binarii. 122 00:06:53,340 --> 00:06:56,260 Et ideo dico quod illud just so-- suus 'a Behemoth, ius? 123 00:06:56,260 --> 00:06:58,959 Ibi tot ac 0 I scriptor ibi. 124 00:06:58,959 --> 00:07:01,000 Sed probabiliter non vere a sensu quid 125 00:07:01,000 --> 00:07:02,870 magnitudine numero sint. 126 00:07:02,870 --> 00:07:06,150 Neque enim quod idea corresponderet decimales. 127 00:07:06,150 --> 00:07:09,744 Ac ne videre quid faciemus respondet in decimales elit. 128 00:07:09,744 --> 00:07:11,660 Ut possitis exprimeret hanc partem in via 129 00:07:11,660 --> 00:07:15,640 daturum se nobis nonnullus magis notitia de iustus quam magnus numerus ille sit. 130 00:07:15,640 --> 00:07:17,270 >> Eamus ad conversionem processus. 131 00:07:17,270 --> 00:07:19,311 Primum egemus facere volumus group 132 00:07:19,311 --> 00:07:23,050 his digits in coetibus de IV, a dextra 133 00:07:23,050 --> 00:07:24,120 et opus ad sinistram. 134 00:07:24,120 --> 00:07:27,260 Non contingit esse XXXII digits hic, quod est interpretatum habemus 135 00:07:27,260 --> 00:07:33,210 a nice mundis illucescente VIII coetus IV. 136 00:07:33,210 --> 00:07:36,200 Memento quod uniuscuiusque coetus IV hic unice correspondet 137 00:07:36,200 --> 00:07:37,760 in hexadecimal digiti. 138 00:07:37,760 --> 00:07:42,080 Itaque rursus aedificanda nostris tollemus numerus a dextris et a sinistris operari. 139 00:07:42,080 --> 00:07:44,890 Bene quid MCI? 140 00:07:44,890 --> 00:07:49,220 Quid facimus math in exercitu nostro dux habemus I eights in loco, a I 141 00:07:49,220 --> 00:07:54,310 in quattuor pedes locum, a 0 in bina locum et I in istis locis. 142 00:07:54,310 --> 00:07:58,820 Quod suus VIII plus IV plus I, ut sciam quod XIII. 143 00:07:58,820 --> 00:08:02,400 Sed fortasse scribere de XIII, quia opus sumus hexadecimal. 144 00:08:02,400 --> 00:08:07,982 Nos postulo ut convertam eum in hexadecimal equivalent of XIII, quae est d. 145 00:08:07,982 --> 00:08:12,940 >> XI, quod tam in 0 eights loco, a 0 in quattuor pedes locum, 146 00:08:12,940 --> 00:08:15,190 I a loco in bina, et in I ones loco. 147 00:08:15,190 --> 00:08:16,880 Ut 'III. 148 00:08:16,880 --> 00:08:20,180 Dico observabitis caerimonias istas rursus hic IX. 149 00:08:20,180 --> 00:08:23,850 XI Deinde vero quod b revocare. 150 00:08:23,850 --> 00:08:30,570 II, 10-- vel a-- VI et IV. 151 00:08:30,570 --> 00:08:34,669 Et ut amplissimum string of 0 scriptor et I scriptor consummabis summitatem eius 152 00:08:34,669 --> 00:08:38,549 quod brevius dici in hexadecimal ut 0x 46a2b93d. 153 00:08:38,549 --> 00:08:42,309 154 00:08:42,309 --> 00:08:45,870 >> , Bene, didici a frigus arte, quis 'punctum? 155 00:08:45,870 --> 00:08:49,560 Sed ne hoc omnibus tunc erant 'iens ut mox videbimus, 156 00:08:49,560 --> 00:08:52,370 utimur hexadecimal quite multum sicut programmers. 157 00:08:52,370 --> 00:08:55,060 Non ex necessitate pro math quod cogitavi ut facerem ei, 158 00:08:55,060 --> 00:08:58,470 sed quia multus of temporibus memoria allocutionibus in nostrum ratio 159 00:08:58,470 --> 00:09:00,440 repraesentantur in hexadecimal. 160 00:09:00,440 --> 00:09:04,390 Suus 'a vere dicere enunciatio aliter gravia binarius nulla numeri. 161 00:09:04,390 --> 00:09:06,440 Et iterum not-- es forsit 162 00:09:06,440 --> 00:09:07,640 Non facies in eo quidquam math cum eam tu non es 163 00:09:07,640 --> 00:09:09,848 iens futurus multiplicans hexadecimal numeris simul, 164 00:09:09,848 --> 00:09:11,770 ne quid tale fatum. 165 00:09:11,770 --> 00:09:16,120 Sed est utile habere peritiam sic vos can dicere et intelligere 166 00:09:16,120 --> 00:09:23,290 memoria allocutionibus et aliis igitur modis de principio data in C. 167 00:09:23,290 --> 00:09:26,240 >> Lloyd doug sum hoc CS50. 168 00:09:26,240 --> 00:09:28,028