Translation ku bayinare kuti decimal - zonse monga

The mawu kuti zonse ndi watsopano - palibe kanthu ngati bwino aiwala akale, kwathunthu zikugwirizana ndi dongosolo bayinare. Iwo likukhalira kuti China wakale anagwiritsa ntchito chinthu chokhala wathu "umodzi-tac-chala" choonadi si masamu, ndi kulemba m'buku la Kusintha. Wapafupi kumvetsa machitidwe osiyana ambiri anali Ainka: Adali ndi decimal ndi bayinare machitidwe Koma kokha kwa mawu ndi zithunzi ozimbayitsidwa. Tikhoza kuganiza kuti ngakhale ndiye, 4 zikwi. Zaka zapitazo, Ainka amadziwa amamasulira ku bayinare dongosolo decimal.

A Baibulo la makono a dongosolo bayinare anali bungwe Leibniz okha zaka 300 zapitazo, ndipo pambuyo theka ya atumwi Dzhordzh Buli kumanzere dzina lake kukumbukira ntchito m'tsogolo pa ajebura maganizo. Bayinare masamu, pamodzi ndi ajebura maganizo anali maziko a sayansi panopa yadigito. Zonsezi zinayamba mu 1937, pamene njira kusanthula wophiphiritsa wa kulandirana ndi kusinthitsa madera anali akufuna. ntchito imeneyi Claude Shannon anakhala "mayi" kompyuta ya kulandirana amachita bayinare Kuwonjezera kale mu 1937. Ndipo, ndithudi, chimodzi cha zolinga za ichi "yemwe anali agogo" makompyuta yamakono linamasuliridwa kuchokera bayinare kuti decimal dongosolo.

Izo kokha zaka zitatu, ndi chitsanzo china cha kulandirana "kompyuta" atumiza lamulo kwa Chiwerengero cha manambala zovuta, ntchito mzere foni ndi TTY - bwino, monga akale intaneti mu kuchitapo.

Kodi bayinare, decimal, hexadecimal, ndipo ambiri olankhula, dongosolo lililonse N-shonale? Palibe kobvuta. Tengani nambala zitatu manambala mu dongosolo wathu wokondedwa decimal, izo ukufanizidwa ndi manambala 10 - 0 9 malinga ndi malo. Tsimikizirani kuti chiwerengero cha manambala ali pa udindo 0 1, 2 (ndondomeko amapita ku zoyambirira manambala lomaliza). Nthaŵi iliyonse malo akhoza kukhala chiwerengero cha kachitidwe, koma ukulu wa nambala iyi kumadalira osati kokha pa chizindikiro chake komanso udindo malo. Mwachitsanzo, chiwerengero cha 365 (motero, maudindo 0 - nambala 5, malo 1 - nambala 6, ndipo udindo 2 - chithunzi 3) phindu la ziro malo - 5 okha mu malo oyamba - 6 * 10, ndipo chachiwiri - 3 * 10 * 10. Ndi chidwi kuti, kuyambira malo oyamba, limapangidwa chidwi manambala chiwerengero (0 9) ndi dongosolo m'munsi kumlingo wofanana ndi chiwerengero malo, i.e. akhoza kulembedwa kuti 345 = 3 * 10 * 10 + 6 * 10 +3 = 3 * 102 + 6 * 101 + 5 * 100.

Chitsanzo china:

260974 = 2 * 105 + 6 * 104 + 0 * 103 + 9 * 102 + 7 * 101 + 4 * 100.

Monga mmene taonera, pamalopo Pamalo zizindikiro chiwerengero watanthauzo kukukhala a dongosolo, ndi chinthu cha dongosolo m'munsi mwa digiri wofanana chiwerengero anapatsidwa udindo (ichi ndi pang'ono chiwerengero chiwerengero cha udindo, koma zambiri).

Ku maganizo a chifaniziro cha mawonekedwe ake bayinare ndi odabwitsa kuphweka kwake - 2 okha a dongosolo - 0 ndipo 1. Koma kukongola kwa masamu kuti ngakhale mu maonekedwe truncated kuti zingaoneke, manambala bayinare ali yemweyo ufulu wonse wofanana, komanso awo kwambiri "wamtali anzake." Koma mmene kuyerekeza iwo, mwachitsanzo, ndi chiwerengero decimal? Pamene njira, mulibe fulumirani, kusinthika kwa bayinare dongosolo nambala kuti decimal. vuto sitinganene kuti kovuta, koma ntchito imeneyi mwakhama amafuna chisamaliro. Choncho tiyeni tiyambe.

Zochokera kumwamba, pa dongosolo la chifaniziro cha manambala mu dongosolo lililonse, ndipo muzikumbukira losavuta wa iwo - bayinare, kutenga ndondomeko iliyonse "wa anthu-tac-chala." Ife muyimbe VO (mu Russia), ndipo yesani kupeza chimene - anawamasulira kuchokera bayinare kuti decimal dongosolo. Zilekeni VO = 11.001.010.010. Koyamba, chiwerengero cha anthu. Tiyeni tiwone!

Mzere woyamba lili chiwerengero aife mu mawonekedwe yaitali, ndipo chachiwiri kulemba momwe kuchuluka kwa wachina chilichonse mu mawonekedwe a zinthu - kwambiri manambala (pano chisankho ndi zazing'ono - 0 kapena 1) Chiwerengero 2 mphamvu ya Pamalo chiwerengero mu dongosolo decimal, ifenso kuchita kusinthika kwa bayinare kuti decimal. Tsopano, mu mzere wachiwiri inu muyenera kuchita kuwerengetsera. Chifukwa ndi losavuta kumva, ife tikhoza kuwonjezera koma lachitatu mzere ndi wapakatikati kuwerengetsera.

VO = 1 1 0 0 1 0 1 0 0 1 0;

VO = 1 * 210 + 1 + 29 + 0 * 28 + 0 * 27 + 1 26 + 0 + 25 + 1 + 24 + 0 23 + 0 * 22 + 1 + 21 + 0 * 20;

VO = 1 * 1024 + 1 * 512 + 0 * 256 + 0 * 128 + 1 + 64 0 32 + 1 * 16 + 0 8 + 0 * 4 + 1 * 2 + 0 * 1.

Ife kuwerengera "masamu" mu mzere wachitatu, tili ndi zimene tikufufuza: VO = 1618. Choncho zimene aliyense ali wamkulu? Popeza kuti nambala iyi - wotchuka kwambiri kuposa onse amene amadziwika kuti anthu: izo zogwirizana ndi chiwerengero cha mapiramidi Aigupto, wotchuka Mona Lisa, zolemba nyimbo ndi thupi, koma ... Koma ndi kuukonza pang'ono - podziwa kuti tiyenera kukhala kwambiri la Ufumu mlandu wake izi anatipatsa nambala ya nthawi 1000 phindu panopa - 1,618. Mwinamwake, kuti onse anapita. Ndipo poyamba anawamasulira kuchokera bayinare kuti decimal anathandiza pa nyanja malire a manambala "nsomba" ndi wochititsa chidwi kwambiri - umatchedwa "fano molingana".