Aeaie helu: aeaie kahua

Aeaie helu - o ka helu ana o aeaie helu'ōnaehana, me he kanaka hewa 2. Ua Ua hoʻokō 'ana i loko o kikohoʻe uilaʻoe, ua hoʻohana' ia i loko o ka hapanui ke kālā no Me manaʻo, me kamepiula 'ē aʻe, lawe lima kaul a me nāʻano o nā mea e loaʻa ka mea nalo. Mākou ke i aku nei au ia a pau o ka manawa 'enehana mākou i kūkulu ai ma luna o aeaie helu.

mooolelo helu

Kekahi helu,ʻaʻohe pehea nui ka mea, o mea, i loko o ka aeaie'ōnaehana ua kākauʻia e ke kumu o nā hōʻailona: 0 a me 1. No ka laʻana kii 5 o nā mea a pau i ka ninau kekimala'ōnaehana ma ka aeaie ua poe like 101. aeaie helu i e hoʻokohu 'ia e ka pākuʻina kau 0b' ole ampersand (&) no kekahi laʻana: & 101.
Ma nā mea a pau helu nenoai, Ma waho aʻeo ka ka kekimala, e heluhelu i nā huapalapala kekahi e kekahi, e ua ia me lakou i mea hoike 101 ka heluhelu e like me "kekahi 'Aʻohe kekahi".

Hoolilo mai kekahi kahua i kekahi

Programmers i mau hana me ka aeaie'ōnaehana ma ka hele hiki ai ke hoʻolilo aeaie helu i ka kekimala. Ua hiki anei ke hana me kekahi nā papakuhikuhi, o ka oi aku ina he kanaka i ka manaʻo o ke pehea ia hana o ka huna uuku loa o ka kamepiula "lolo" - i nā kānaka.

Ka helu 'Aʻohe like ka 0, a me ka helu kekahi ma ka aeaie'ōnaehana e no hoi e ka pa alima, akā, mea e hana ai ka wā o nā helu e holo mai? Ke kekimala'ōnaehana ua "kono" e komo i loko o ia ka hihia, i ka manawa "he umi", a ma ka aeaie'ōnaehana, ka mea e e kapaia "deuce".

Inā 0 o 0 ° (ampersand - aeaie notation'ōnaehana) 1 = K 1, ka mea e e haawi ia ia e like me 2 & 10. Ka luna ekolu no hoi hiki ke kākau i loko o nā huahelu, ka mea, e ia o ka palapala & 11, i ka mea he deuce, a me ka hoʻokahi pa alima. i ka ho'āʻo 'ia ka hiki ana, a ma ka kekimala'ōnaehana wahahee haneri ma keia kahua, a ma ka aeaie - "eha". Lau - ia & 100, elima - & 101, eono - & 110, ehiku - & 111. Next, he nui pa alima o ka mooolelo - he aka ewalu.

Ua hiki ke kaulana hiʻona: ina e hoonuiia ka kekimala huahelu ma he umi (1, 10, 100, 1000, a no laila, ma luna o), ma ka aeaie, niioaaonoaaiii, i loko o nā: 2, 4, 8, 16, 32. kēia hoʻopili like me ka nui o ka waihonaʻike paʻa pepa a me nā hoa ana hoʻohana ma kamepiula 'ē aʻe a me nā manaʻo.

He aha ka ka aeaie kivila

Nā helu i hoikeia ma ka aeaie'ōnaehana, ikeia like aeaie, akā, i loko o kēia palapala hiki ke hooku iho la ia, a me ka laulā nā loina (huapalapala a me nā hōʻailona). Pela, e mea hiki ke encode i nā hua'ōlelo a me nā hāʻina o nā haʻawina i loko o na kii, ina ka mea, e loaa ka manao ole ai maemae, no ka mea, e kākau i kekahi wale palapala pono kekahi 'Aʻohe hualoaʻa a me ka poʻe.

Akā, pehea kamepiula 'ē aʻe kahu ai, e heluhelu i ka ike? I ka mea, a pau ka hiki'ē ma mua o ia mea. People maʻa i ka kekimala'ōnaehana, mua hoohuli aeaie helu i loko o ka oi nīnau, a laila, e ia i kekahi manipulation, a me ka kamepiula-ma muli kūpili mea mua aeaie helu nenoaiu. Unit i loko o ke akamai hoʻopili like i ke anakahi uila kiʻekiʻe, a me ka 'Aʻohe - mea haʻahaʻa, a me ke anakahi uila no ka mokuna mea, a me ka' Aʻohe kahi e.

Aeaie helu ma ka moʻomeheu

Ka hewa mea e kuhi i ka aeaie nenoaiu - ia mea he e piʻi like ana o kēia makemakika. ʻOiai aeaie helu a me nā pono kīvila kanaka i ka manawa enehana mākou, ka mea, i ua hoʻohana no ka lōʻihi manawa, a ma kekahi mau wahi o ke ao nei. E hoʻohana i ka lōʻihi laina (pa alima) a me ka intermittent ( 'Aʻohe) hoʻopā'ālua ewalu huapalapala, ke ano, ewalu oihana mua: ka lani, ka honua, ka hekili, ka wai, nā mauna, ka makani, ke ahi a me ka wai (ka wai paona). Kēia Analog o 3-iki helu i ho'ākāka 'ia i loko o ka Classic kikokikona o ka buke o ka loli o ke. Trigrams he Hexagrams 64 (6-iki helu), ka mea i loko o i ka? Aaeno? I, ua ke aupuni 'ai i ka loli i kulike ai me ka aeaie nui mai 0 a hiki i 63.

Keia mea i hana i loko o kaʻumikumamākahi kenekulia Chinese haumāna Shao Alaa, he mea i hōʻike i ka mea maoli i ka poe i ike i ka aeaie helu nenoaiu.

Ma India, i mua mākou au ua i hoʻohana aeaie helu i loko o ka makemakika kumu no ke ano o ka poetry, haku mathematician Pingala.

Nodular palapala Inca (bale) ua noʻonoʻo pono i ka prototype o kēia 'ikepili i. Ka mea, ua ka mua manawa ka mea, ua hoʻohana 'ole wale aeaie helu, akā,ʻaʻole i ka laulā' ikamu i loko o ka aeaie nenoaiu. Knot leka bale ano ole wale iniiaiie a me nā ki, akā, hoʻohana positional helu encoded hoʻohana 'ana i kikokiko, a me kaʻikepili moʻo o repetitions (pōʻaiapuni). Inky ka mea mua, e hoʻohana i ke ano o ka helu mahina kapa kaulua-kahi e komo ai.

I ka mua o na programmers

Aeaie'ōnaehana ma muli o ka helu 0, a 1, a me ka ho'ākāka 'ia ma ke kaulana nä känaka' epekema, physicist a me ka mathematician Gotfrid Vilgelm Leybnits. He ua leʻaleʻa o kahiko Chinese moʻomeheu a me këia i ka hana kuʻuna hāʻina o nā haʻawina o ka Buke o Hoʻololi i, malama e like hexagrams aeaie nui mai 0 a hiki i 111111. He mahalo i ka hoike o ka holomua 'ana i loko o kālaiʻike a me ka makemakika ma ka manawa. Leibniz hiki e hoike ia mua o programmers a me ka 'ike theorists. Ua i ka mea i ike ia ina ke kākau i ka pae ana o aeaie helu hoʻopapakū (kekahi ma luna o ka 'ē aʻe), a laila, i ke kūpono vertical kolamu o ka huina E e hai mau' Aʻohe hualoaʻa a me ka poʻe. Ua kapa aku la ia ia, e paipai i loaʻa paha e ka loa hou makemakika kānāwai.

hoomaopopo Lejbnits, a i ka aeaie helu i pono ai no ka hoʻohana 'ana i loko o mechanics, i ke kumu o ka a he loli e e OE a me kaʻeleu pōʻaiapuni. Ka iwilei ua i loko o ka 17th kenekulia, a me ke nä känaka 'epekema nui invented ka helu ana mīkini i loko o ka pepa, hana ma ka muli o kona hou discoveries, akā, hoʻomaopopo koke ihola nō ia o ka noho maikai ana i' aʻole naʻei paʻa iaʻanoʻenehana kūpono 'ana, a ma kona manawa, i ka hoʻokumuʻiaʻana o ia ka mīkini makemake e hiki ole.