Translation ka binary in jajab tobanle - oo dhan oo kaliya

Odhaahda in wax walba waa cusub - waa wax la mid ah si fiican u illowday jir ah, si buuxda u khusaysaa ay nidaamka binary. Waxaa soo baxday in in qadiimiga Shiinaha ayaa loo isticmaalaa wax u eg our "midnimo-Tac-lugo", runtu kuma jirto in xisaabta, iyo qoraal qoraalka ah ee kitaabka Isbedelada. Dhow fahamka nidaamyada tiro kala duwan ahaayeen Incas, oo iyaga loo isticmaalo iyo nidaamka tobanle iyo binary ah, si kastaba ha ahaatee, wuxuu socon oo keliya qoraal iyo fariimo encoded. Waxaan u qaadan karnaa in xitaa markaas, 4 kun. Years ka hor, Incas ogaa sida loo sameeyo turjumaad ka binary nidaamka tobanle.

version A casriga ah ee nidaamka binary waxaa la soo jeediyay by Leibniz, kaliya qaar ka mid ah 300 oo sano ka hor, iyo ka dib markii a nus qarnigii Dzhordzh Bul magiciisa ku hadhay xasuusta shaqada mustaqbalka on algebra ee macquulka ah. xisaabta Binary, wada jir ah ula algebra ee macquulka ahaa aasaaskii technology digital hadda. Waxaa oo dhan waxay bilaabeen in 1937, marka habka falanqaynta calaamad Relay iyo Beddelashada wareeggeedii waxaa la soo jeediyay. Tani shaqada ee Claude Shannon noqday "hooyo" waayo computer Relay ku qabata waxaa dheer binary durba 1937. Iyo, dabcan, mid ka mid ah ujeeddooyinka of this "awoowe" kombiyuutarada casri ah loo turjumay ka binary in jajab tobanle nidaamka.

Waxay ahayd saddex sano oo kaliya, iyo model kale oo Relay "computer" in ay calculator soo diro amar lambarada adag, iyadoo la isticmaalayo line phone iyo TTY - iyo sidoo kale, kaliya internet jir ah in tallaabo.

Waa maxay binary, jajab tobanle, hexadecimal, iyo, guud ahaan, wax kasta oo nidaamka N-ary? Wax adag. Qaado saddex lambar ah ee nidaamka our tobanle la jecel yahay, waxaa matalayay 10 lambar - 0 ilaa 9 waafaqsan goobta. Go'aaminta in tirada lambar yihiin jagooyinka 0, 1, 2 (habka tagaa hore in god ee la soo dhaafay). At meel kasta noqon kartaa lambarka mid ka mid ah nidaamka, laakiin baaxadda tirada this ma ku xiran tahay oo kaliya on sumaddii, laakiin sidoo kale meel meel. Tusaale ahaan, tirada 365 (siday u kala horreeyaan, boos 0 - tirada 5, tixraaca nidaam nambaro 1 - tiradaasi 6 iyo booska 2 - tiradaasi 3) qiimaha eber meel - 5 a booska ugu horreeya - 6 * 10, oo kii labaadna wuxuu ahaa - 3 * 10 * 10. Waxaa cajiib ah in, laga bilaabo booska ugu horeysay, ka kooban yahay dhowr ah oo muhiim ah lambar (0 9) iyo nidaamka saldhigga ilaa xadka loo siman yahay tirada booska, i.e. waxaa loo qori karaa in 345 = 3 * 10 * 10 + 6 * 10 +3 = 3 * 102 + 6 * 101 + 5 * 100.

Tusaale kale:

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

Sida laga arki karo, meel kasta oo booska ka kooban dhowr macno kooxo nidaamka, iyo factor saldhigga nidaamka in shahaado loo siman yahay tirada la siiyo boosas (tani waa tiro waxoogaa ka mid ah tirada boosaska ee, laakiin mid ka badan).

Laga soo bilaabo barta of view of metelaad ah ee ay foomka binary waa xujo ah in ay xog - oo kaliya 2 of nidaamka - 0 iyo 1. Laakiin quruxda xisaabta waa in xitaa foom la keenin wax sida laga yaabaa in ay u muuqato, tirada binary waa xuquuq buuxda oo loo siman yahay isla, iyo sidoo kale ay dheeraad ah "Saaxiibadayda dheer." Laakiin sida loo barbardhigi, tusaale ahaan, la tiro jajab tobanle? Sida ikhtiyaarka ah, aad ha ku degdegin, tarjumaadda ah binary nidaamka tirada si jajab tobanle. Dhibaatadu ma la odhan karaa waa adag tahay, laakiin shaqadan adag waxay u baahan tahay taxadar. Sidaas daraaddeed ha ka bilowno.

Iyada oo ku saleysan kor ku xusan, on amarka of metelaad ah ee tirada nidaamka kasta, iyo innagoo maskaxda ugu fudud iyaga ka mid ah - binary, qaadan xigxiga kasta "kuwa-Tac-lugo." Waxaan wac lambarka this vo (ee Ruush IN), oo isku day in aad ogaato waxa loo - turjumay ka binary in jajab tobanle nidaamka. Ha u ahaato vo = 11.001.010.010. Ugu jaleecada hore, tirada tirada. Aan aragno!

oo safka kowaad wuxuu ka kooban yahay tiro laftiisa qaab dheer, oo kii labaadna wuxuu ahaa qori sida tirada shay kasta oo ah qaab arrimaha - god weyn (halkan doorashada waa yar yahay - 0 ama 1) iyo tirada 2 in xoogga tirada booska nidaamka jajab tobanle, waxaan sidoo kale samayn turjumaad ka binary in jajab tobanle. Haddaba, in line labaad aad kaliya u baahan tahay si ay u qabtaan xisaabinta. Waayo, Hufnaan, waxaan sidoo kale ku dari kartaa line saddexaad la xisaabin dhexe.

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

Waxaan xisaabiso ka "xisaab" in line saddexaad, iyo waxaan leenahay wixii aynu ku raadinaya: vo = 1618. Sidaas waxa kale oo waa weyn yahay? Iyo xaqiiqda ah in tirada this - ugu caansan oo dhan oo waxaa lagu yaqaan in dadka: waxaa lala saamiga Ahraamyada dalka Masar, ka Mona Lisa caan ah, qoraalada muusikada iyo jidhka bini'aadamka, laakiin ... Laakiin yar Hadba ah - iyagoo og inay wanaagsan waa in badan oo ka mid ah uu Weynaha kiiska 1,618 - this tirada 1000 jeer qiimaha jooga ah ee na siiyey. Malaha, in dhammu waxay tageen. Oo kadis ah loo tarjumay ka binary in tobanle caawiyay badda aan la koobi karayn lambarada "qabsado" ugu cajiibsan - waxa loo yaqaan "saamiga dahabka".