Binary tus xov tooj: binary system

Binary xov tooj - yog tus naj npawb ntawm binary tooj system, muaj ib lub hauv paus 2. Nws yog siv ncaj qha rau hauv cov electronics, yog siv nyob rau hauv feem ntau niaj hnub xam pab kiag li lawm, xws li computers, txawb tes thiab tag nrho cov hom ntawm cov sensors. Peb yuav hais tias tag nrho cov ntawm peb lub sij hawm technology ua rau binary xov tooj.

cov ntaub ntawv tus xov tooj

Tej xov tooj, tsis muaj teeb meem loj npaum li cas nws yog, nyob rau hauv lub binary system yog sau cia los ntawm txhais tau tias ntawm ob cim: 0 thiab 1. Piv txwv li daim duab 5 ntawm tag nrho cov paub cov zauv system nyob rau hauv binary yog muaj tuaj raws li 101. Binary xov tooj tej zaum yuav raug xaiv los ntawm prefix 0b los yog ampersand (&) piv txwv li: & 101.
Nyob rau hauv tag nrho cov xov tooj systems, tsis suav cov zauv, cov cim yog nyeem ib tug los ntawm ib tug, uas yog muab raws li ib qho piv txwv 101 yog nyeem raws li "ib tug pes tsawg ib".

Hloov los ntawm ib tug system mus rau lwm lub

Cov tas li ua hauj lwm nrog cov binary system nyob rau hauv lub mus yuav hloov binary xov tooj mus rau decimal. Qhov no yeej yuav ua tau tsis muaj qauv, tshwj xeeb tshaj yog yog ib tug neeg muaj ib lub tswv yim ntawm yuav ua li cas nws ua hauj lwm yog qhov tsawg tshaj plaws ib feem ntawm lub computer "hlwb" - me me.

Tus xov tooj pes tsawg raws li yog 0, thiab tus naj npawb ib tug nyob rau hauv lub binary system yuav kuj yuav tau ib chav tsev, tab sis yuav ua li cas thaum cov zauv khiav tawm? Cov decimal system yog "caw" mus nkag rau hauv xws li ib rooj plaub, lub sij hawm "kaum", thiab nyob rau hauv ib tug binary system, nws yuav tsum hu ua "deuce".

Yog hais tias 0 yog 0 ° (ampersand - binary cim system) 1 = k 1, nws yuav raug xa mus rau raws li 2 & 10. Lub sab saum toj peb kuj yuav tau sau ntawv nyob rau hauv ob tug lej tom qab, nws yuav daim ntawv & 11, uas yog ib tug deuce thiab ib chav tsev xwb. Cov tau ob peb ua ke yog sab sab, thiab nyob rau hauv lub decimal system tswvcuab pua pua ntawm no theem, thiab nyob rau hauv binary - "plaub". Plaub - nws & 100, tsib - & 101, rau - & 110, xya - & 111. Tom ntej no, ib tug loj chav tsev ntawm tus account - ib daim duab yim.

Nws yuav tsum tau muab sau feature: yog hais tias tus zauv lej tom qab yog multiplied by kaum (1, 10, 100, 1000 thiab thiaj li nyob), nyob rau hauv binary, ntsig txog, rau hauv ob: 2, 4, 8, 16, 32. Qhov no sau raws nkaus Ii qhov luaj li cas ntawm flash nco phaib thiab lwm yam drives siv nyob rau hauv computers thiab lwm yam pab kiag li lawm.

Yuav ua li cas yog lub binary code

Cov zauv qhia nyob rau hauv lub binary system, lub npe hu ua binary, tab sis nyob rau hauv daim ntawv no yuav tsum tau nthuav tawm thiab cov zauv tseem ceeb (cim thiab cim). Yog li, nws yog ua tau rau encode cov lus thiab cov ntawv nyob rau hauv cov nuj nqis, tab sis yog lawv yuav muaj ib tug saib tsis yog li ntawd zoo huv si, vim hais tias mus sau tsuas yog ib tsab ntawv xav tau ib co zeros thiab sawv daws yuav.

Tab sis yuav ua li cas computers tswj kom nyeem ntawv kom ntau npaum li cas ntxiv? Nyob rau hauv qhov tseeb, txhua yam yog yooj yim dua no mas. Cov neeg accustomed mus rau lub decimal system, thawj hloov binary xov tooj nyob rau hauv ib tug ntau me ntsis txog, thiab ces ua rau lawv tej manipulation, thiab computer-based logic yog Ameslikas binary tooj system. Unit nyob rau hauv lub kos duab raws li ib tug high voltage, thiab pes tsawg - yog tsis muaj, los yog cov voltage rau lub tsev no, thiab mus rau zero tsis tuaj kawm ntawv.

Binary xov tooj nyob rau hauv kab lis kev cai

Qhov yuam kev no yog los xav hais tias cov binary system - nws yog ib qho zoo uas niaj hnub kawm txog zauv. Txawm tias binary tooj thiab yog siv nyob rau hauv peb lub sij hawm technology, lawv tau siv rau ib tug ntev lub sij hawm, thiab nyob rau hauv ntau qhov chaw ntawm lub ntiaj teb no. Siv ib tug kab (unit) thiab sib quas ntus (zero) encoding yim cim, lub ntsiab lus yim hais: saum ntuj ceeb tsheej, lub ntiaj teb, xob quaj, dej, roob, cua, tua hluav taws thiab dej (dej nyhav). Qhov no analog ntawm 3-ntsis xov tooj piav nyob rau hauv lub classic ntawv nyeem ntawm Phau Ntawv hloov. Trigrams twb Hexagrams 64 (6-ntsis xov tooj), qhov kev txiav txim nyob rau hauv uas lub register tau lawm nyob hloov nyob rau hauv raws li cov binary cov zauv 0 mus 63.

Qhov no thiaj tau ua nyob rau hauv lub xyoo pua eleventh Suav kawm Shao Yong, txawm hais tias muaj yog tsis muaj pov thawj hais tias nws yeej to taub qhov binary tooj system raws li ib tug tag nrho.

Nyob rau hauv Is Nrias teb, txawm ua ntej peb era kuj yog siv binary xov tooj nyob rau hauv ib tug zauv hauv paus rau qhov kev piav qhia ntawm cov paj huam, muaj mathematician Pingala.

Nodular sau ntawv Inca (bale) yog suav tias yog qhov chiv keeb ntawm cov niaj hnub databases. Nws yog thawj lub sij hawm lawv tau siv tsis tau tsuas yog binary xov tooj, tiam sis tsis suav nkag rau hauv lub binary system. Pob caus tsab ntawv bale yam ntxwv tsis tau tsuas yog thawj thiab ntxiv hauv lub lag luam, tab sis siv positional tooj encoded siv xim, thiab cov ntaub ntawv series ntawm repetitions (mus). Inky thawj siv cov qauv ntawm cov accounting hu ua ob-nkag.

Tus thawj ntawm lub programmers

Binary system raws li nyob rau hauv cov zauv 0 thiab 1, thiab piav txog lub npe nrov paub txog, physicist thiab mathematician Gotfrid Vilgelm Leybnits. Nws yog fond ntawm ancient Suav kab lis kev cai thiab kev kawm cov tsoos phau ntawv ntawm Phau Ntawv hloov, pom conformity hexagrams binary cov zauv 0 mus 111111. Nws siab kawg rau cov pov thawj ntawm xws kawm nyob rau hauv philosophy thiab zauv ntawm lub sij hawm. Leibniz tej zaum yuav hais thawj ntawm cov thiab cov ntaub ntawv theorists. Nws yog nws leej twg nrhiav tau hais tias yog hais tias peb sau cov pab pawg neeg ntawm binary tooj mas (ib saum toj no rau lwm), ces tus uas ua ntsug txhua ntawm tus xov tooj yuav tau rov qab tu ncua zeros thiab sawv daws yuav. Nws hu nws los hais tias muaj tej zaum yuav ib tug kiag li tshiab zauv cai.

Lejbnits to taub thiab hais tias cov binary xov tooj yog pom rau siv nyob rau hauv mechanics, lub hauv paus ntawm kev uas ib tug hloov yuav tsum tau passive thiab active mus. Cov mev yog nyob rau hauv lub xyoo pua 17th, thiab lub zoo paub txog invented ib tug xam tshuab nyob rau hauv daim ntawv, ua hauj lwm rau lub hauv paus ntawm nws cov tshiab discoveries, tab sis sai sai pom tau hais tias cov kev vam meej tau tseem tsis tau mus txog tej hauj txoj kev loj hlob, thiab nyob rau hauv nws lub sij hawm no, tus creation ntawm xws li ib tug tshuab yuav tsis yooj yim sua.