Binary thiab hexadecimal cov zauv muaj ob txoj kev rau cov zauv cov kab zauv uas peb siv hauv lub neej txhua hnub. Cov ntsiab lus tseem ceeb ntawm lub computer network xws li cov chaw nyob, qhov ncauj qhov ntswg, thiab cov yawm sij yuav koom nrog cov naj npawb binary lossis hexadecimal. Kom totaub tias cov haujlwm binary thiab hexadecimal ua haujlwm yog qhov tseem ceeb hauv kev tsim kho, teebmeem, thiab kev ua haujlwm hauv txhua lub network.
Khoom thiab Bytes
Tsab ntawv xov xwm no xav txog kev nkag siab ntawm cov khoom siv hauv computer thiab bytes .
Binary thiab hexadecimal lej yog qhov kev ua lej uas ua haujlwm nrog cov ntaub ntawv khaws cia hauv cov khoom thiab cov bytes.
Binary Numbers thiab Base Two
Cov naj npawb Binary muaj ob yam ntawm ob qho ntawm ob kab '0' thiab '1'. Cov no yog cov piv txwv ntawm binary naj npawb:
1
10
1010
11111011
11000000 10101000 00001100 01011101
Cov kws tshawb fawb thiab cov kws kos npe hu ua binary numbering system lub hauv paus-ob qhov system vim cov cim binary tsuas muaj ob tug lej '0' thiab '1'. Los ntawm kev sib piv, peb cov zauv zauv zauv yog ib lub hauv paus uas yog siv kaum tus lej '0' mus txog 9 '. Hexadecimal naj npawb (tom qab ntawd tham) yog lub hauv paus rau kaum rau .
Hloov Los Ntawm Binary Mus Rau Cov Zauv Nres
Txhua tus lej binary muaj cov duab sib npaug sib npaug thiab lwm txoj haujlwm. Yuav kom hloov tus naj npawb binary thiab zauv, koj yuav tsum tau siv cov tswv yim ua lej ntawm qhov tseem ceeb .
Cov nqe lus ntawm tus nqe lus yog yooj yim: Nrog cov zauv cim binary thiab zauv, qhov nqi ntawm txhua tus zauv yog nyob ntawm nws txoj hauj lwm ("deb npaum li cas mus rau sab laug") hauv tus naj npawb.
Piv txwv, hauv cov zauv cim 124 , tus zauv '4' nruab nrab yog tus nqi "plaub," tab sis tus zauv '2' nruab nrab yog tus nqi "nees nkaum," tsis yog "ob." Tus '2' txhais tau tias tus nqi loj dua tus '4' hauv qhov no vim nws yog qhov chaw ntxiv rau sab laug ntawm tus naj npawb.
Ib yam li tus nab npawb hauv binary 1111011 , tus rightmost '1' sawv cev rau tus nqi "ib qho," tab sis cov seem sab nraud '1' piv rau nqi ntau dua ("sixty-four" nyob rau hauv rooj plaub no).
Hauv kev ua lej, lub hauv paus ntawm tus lej nruab nrab yog qhov txiav txim tias muaj pes tsawg tus lej ntawm qhov chaw. Rau cov lej kaum-kaum zauv, muab cov zauv ntawm sab laug los ntawm qhov hnyav 10 ntawm xam rau tus nqi. Rau cov hauv paus-ob tug lej binary, muab cov zauv ntawm ob sab los ntawm qhov hnyav zuj zus ntawm 2. Ntaus ib txwm ua haujlwm ntawm sab laug.
Hauv qhov piv txwv saum toj no, tus zauv cim 123 ua haujlwm rau:
3 + (10 * 2 ) + (10 * 10 * 1 ) = 123
thiab cov cim binary 1111011 converts rau decimal ua:
1 (2 * 1 ) + (2 * 2 * 0 ) + (4 * 2 * 1 ) + (8 * 2 * 1 ) + (16 * 2 * 1 ) + (32 * 2 * 1 ) = 123
Yog li, tus naj npawb binary 1111011 yog sib npaug zos rau cov zauv cim 123.
Hloov ntawm Txij Nkawm Rau Binary Numbers
Yuav hloov cov najnpawb hauv kev tawm tsam, txij zauv los ntawm binary, yuav tsum tau ua kom tau zoo dua qhov sib faib ua zauv.
Siv manually hloov ntawm ib decimal mus rau binary naj npawb, pib nrog zauv tooj thiab pib faib los ntawm binary tooj puag (hauv paus "ob"). Rau txhua kauj ruam qhov kev sib faib ua rau hauv seem 1, siv '1' hauv qhov chaw ntawm binary naj npawb. Thaum txoj kev faib tawm hauv qhov seem ntawm 0, siv '0' hauv qhov chaw. Nres thaum faib tau qhov sib npaug ntawm 0. Cov nab npawb ntawm binary tau txiav txim los ntawm sab xis.
Piv txwv, cov zauv cim 109 hloov mus rau binary raws li nram no:
- 109/2 = 54 seem 1
- 54/2 = 27 tseem tshuav 0
- 27/2 = 13 seem 1
- 13/2 = 6 seem 1
- 6/2 = 3 tseem tshuav 0
- 3/2 = 1 seem 1
- 1/2 = 0 seem 1
Tus zauv cim 109 suav qhov sib npaug ntawm binary 1101101 .
Saib kuj - Khawv koob hauv Wireless thiab Computer Networking