Ukusebenzisana neNobhala yeBhinary neHexadecimal Numeri

Inombolo yeBhanari kunye ne-hexadecimal yimiba emibini kwimimiselo yedesimali yendabuko esisisebenzisa kwimpilo yemihla ngemihla. Izixhobo eziphambili zeekhomputha zeekhomputha njengamakheli, iimaski kunye nezitshixo zonke zibandakanya iinombolo zobunana okanye ze-hexadecimal. Ukuqonda indlela enobunzima bomnxeba kunye ne-hexadecimal ukusebenza ngayo kubalulekile ekwakheni, ekujongeni iingxaki, nokucwangcisa nayiphi na inethiwekhi.

IiBits kunye neBhayte

Le ngqungquthela yecandelo lithatha ukuqonda okuyisiseko kwee-computer kunye nee- bytes .

Inombolo yeBhanari kunye ne-hexadecimal yindlela yemvelo yemvelo yokusebenza kunye nedatha egcinwe kwiibits kunye ne-bytes.

Inombolo yeBhanari kunye neSiseko seBibini

Amanani amabhinqa onke anemihlanganiselo yeenombolo ezimbini '0' kunye '1'. Le mizekelo yeenombolo zobunana:

1
10
1010
11111011
11000000 10101000 00001100 01011101

Iinjineli kunye nezibalo zibiza inkqubo yokubala yebhanari isiseko sembini kuba iinkcukacha zobunana ziqulethe iidijithi ezimbini '0' ne '1'. Ngokuthelekisa, inkqubo yethu yesiqhelo yokubala inombolo yesiseko esisisiseko esisebenzisa amadijithi ayishumi '0' nge '9'. Inombolo ye-hexadecimal (exoxwa kamva) yinkqubo yeshumi neshumi elinesiseko.

Ukuguqula kwiBhinari ukuya kwiNombolo engumNxeba

Zonke iinombolo zebhanari zinommeli olinganayo wesimangalo kunye nakwezinye. Ukuguqula amagama ngokubhaliweyo kunye nokugqibela, kufuneka ufake isicelo semathematika yeempawu zendawo .

Inqobo yexabiso lembono ilula: Ngeenombini zombini kunye neenkcukacha zokugqibela, ixabiso langempela ledijithi ngalinye lixhomekeke kwisikhundla sayo ("ukude kangakanani ngakwesobunxele") ngaphakathi kwenani.

Umzekelo, kwinqanaba le-decimal, idijithi '4' ibonisa ixabiso "ezine," kodwa idijithi '2' ibonisa ixabiso "amabini," kungekhona "amabini." 'I-2' ibonisa ixabiso elikhulu kune '4' kulo mzekelo kuba libekwe ngaphaya kwekhohlo kwinani.

Ngokufanayo kwinqanaba le-binary 1111011 , elifanelekileyo '1' limela ixabiso "enye," kodwa i-leftmost '1' ibonisa inani eliphezulu kakhulu ("ngamashumi mathandathu anesine" kulo mzekelo).

Kwiimathematika, isiseko senkqubo yokubala sinquma ukuba bunjani ukuxabisa amadijithi ngesimo. Ngeenombolo ezilishumi ezisemgangathweni, wandisa idijithi nganye ngakwesobunxele ngenkqubela phambili ye-10 ukubala inani layo. Ngeenombolo zobuncantsi ezibini, phinda inamba nganye ngakwesobunxele ngumgangatho oqhubekayo we-2. Ukubala rhoqo kusebenza ukusuka kwesokudla ukuya kwesobunxele.

Kulo mzekelo ukhankanywe ngasentla, inombolo yombolo 123 isebenza:

3 + (10 * 2 ) + (10 * 10 * 1 ) = 123

kwaye inombolo yebhanari ye-1111011 iya guqulwa kwisigqi njengoko:

1 + (2 * 1 ) + (2 * 2 * 0 ) + (4 * 2 * 1 ) + (8 * 2 * 1 ) + (16 * 2 * 1 ) + (32 * 2 * 1 ) = 123

Ngoko ke, inani lebhanari 1111011 lilingana nenombolo yokugqibela 123.

Ukuguqulwa ukusuka kwiSimali ukuya kwiNombolo yeBinary

Ukuguqula amanani kwinqanaba elingaphambeneyo, ukusuka kwisidanga ukuya kumbhinqa, kufuna ukuhlukana ngokulandelelana kunokuphindaphinda okuqhubekayo.

Ukuguqula ngesandla ukusuka kwisidanga ukuya kwinani lebhanari, qalisa ngeenombolo zokugqibela kwaye uqale ukwahlula ngesiseko senani lebhanari (isiseko "ezimbini"). Kwinqanaba ngalinye ukwahlula kubangela intsalela ye-1, sebenzisa i- '1' kweso sikhundla senani lebhanari. Xa isigaba siphumela kwisithuba se-0 endaweni yoko, sebenzisa i- '0' kuloo ndawo. Yeka xa ulwahlulo luphumela kwixabiso le-0. Inani lebhanari elibangelwayo liyalelwe ukuba lisuke ngasekunene kuya kwesobunxele.

Umzekelo, inombolo ye-decimal engu- 109 iguqula kwibhanari ngolu hlobo lulandelayo:

Inombolo yokugqibela eyi-109 ilingana nenani lebhanari 1101101 .

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