Lambobi binary da hexadecimal sune guda biyu zuwa lambobin ladabi na al'ada da muke amfani dashi a rayuwar yau da kullum. Abubuwa masu mahimmanci na hanyoyin sadarwa kamar adiresoshin, maskoki, da makullin suna ƙunshe da lambobin binary ko hexadecimal. Fahimtar yadda irin waɗannan lambobin binary da hexadecimal suke aiki a mahimmanci a ginin, gyarawa, da kuma shirye-shiryen kowane cibiyar sadarwa.
Bits da Bytes
Wannan jerin jigogi na da fahimtar fahimtar sassan kwamfuta da kuma bytes .
Lambobi binary da hexadecimal sune hanya ta hanyar ilmin lissafi don yin aiki tare da bayanan da aka adana a cikin rago da bytes.
Lambar Binary da Ƙasa Biyu
Lambobin binary sun haɗa da haɗuwa da lambobi biyu '0' da '1'. Waɗannan su ne wasu misalan lambobin binary:
1
10
1010
11111011
11000000 10101000 00001100 01011101
Masu ilimin injiniya da masu ilimin lissafi suna kira tsarin lambobin binary tsarin tsarin guda biyu saboda lambobin binary kawai sun ƙunshi lambobi biyu '0' da '1'. Ta hanyar kwatanta, tsarin mu na al'ada na al'ada shi ne tsarin basira-goma wanda ke amfani da lambobi goma '0' ta '9'. Lambobin Hexadecimal (tattaunawa a baya) sune tsari na goma sha shida .
Sauya Daga Binary zuwa Lambar Ƙidaya
Duk lambobin binary suna da nauyin wakilci daidai da nau'i na nau'i. Don sauya lambobin binary da ƙananan digiri tare da hannu, dole ne ku yi amfani da ka'idar ilmin lissafi na dabi'u na matsayi .
Matsayi na matsayi mai sauƙi shine mai sauƙi: Tare da lambobin binary da decimal, nauyin ainihin kowace lambar ya dogara da matsayi ("yadda ya zuwa hagu") a cikin lambar.
Alal misali, a cikin lambar adadi na 124 , lambar "4" tana wakiltar darajar "hudu," amma lambar "2" tana wakiltar darajar "ashirin," ba "biyu ba." Ma'anar '2' tana wakiltar mafi girma fiye da '4' a wannan yanayin saboda an saita shi zuwa hagu a lamba.
Hakazalika a cikin lambar binary 1111011 , 'yancin' 1 'yana wakiltar darajar "daya," amma hagu na' 1 'yana wakiltar darajar mafi girma ("sittin da hudu" a wannan yanayin).
A cikin ilmin lissafi, asalin tsarin lambobi yana ƙayyade yawan adadin lambobi ta matsayi. Don ƙididdiga guda goma, ninka kowace lambar a gefen hagu ta hanyar ci gaba mai mahimmanci na 10 don lissafin darajanta. Don tushen-lambobi biyu na binary, ninka kowace lamba a hagu ta hanyar ci gaba na 2. Kira yana aiki ne daga dama zuwa hagu.
A cikin misali na sama, lambar adadi na 123 yana aiki zuwa:
3 + (10 * 2 ) + (10 * 10 * 1 ) = 123
da kuma lambar binary 1111011 sun tuba zuwa decimal kamar yadda:
1 + (2 * 1 ) + (2 * 2 * 0 ) + (4 * 2 * 1 ) + (8 * 2 * 1 ) + (16 * 2 * 1 ) + (32 * 2 * 1 ) = 123
Saboda haka, lambar binary 1111011 daidai yake da lambar adadi 123.
Juyawa Daga Ƙimar Farawa zuwa Lambar Biyan Kuɗi
Don sauya lambobi a cikin kishiyar shugabanci, daga decimal zuwa binary, na buƙatar rabo na gaba maimakon ƙaddamarwa.
Don canzawa daga hannu daga ƙaddara zuwa lambar binary, farawa tare da lambar ƙayyadadden yawa kuma fara rarraba ta hanyar ma'auni na binary (tushe "biyu"). Ga kowane mataki da sakamakon rabo ya kasance a cikin saura 1, yi amfani da '1' a wannan matsayi na lambar binary. Lokacin da rabo ya haifar da ragowar 0 a maimakon haka, yi amfani da '0' a wannan matsayi. Tsayawa lokacin da rabo ya kai kimanin 0. Lambobin binary din da aka samo daga dama zuwa hagu.
Alal misali, lambar adadi na 109 yana juyawa zuwa binary kamar haka:
- 109/2 = 54 saura 1
- 54/2 = 27 saura 0
- 27/2 = 13 saura 1
- 13/2 = 6 saura 1
- 6/2 = 3 saura 0
- 3/2 = 1 saura 1
- 1/2 = 0 saura 1
Lambar adadi na 109 daidai da lambar binary 1101101 .
Duba kuma - Lissafin Mace a Sadar da Kayan Kayan Kwamfuta