A. SAYI BASAMA\u011eI<\/p>\n
Bir say\u0131y\u0131 olu\u015fturan rakamlardan her birine bu say\u0131n\u0131n basama\u011f\u0131 denir.
\n Bir do\u011fal say\u0131da ka\u00e7 tane rakam varsa say\u0131 o kadar basamakl\u0131d\u0131r. 243 \u00fc\u00e7 basamakl\u0131 bir say\u0131d\u0131r.
\nB. \u00c7\u00d6Z\u00dcMLEME<\/p>\n
Do\u011fal say\u0131y\u0131 olu\u015fturan rakamlar\u0131n bulundu\u011fu yerdeki de\u011ferine basamak de\u011feri denir.
\n Basamak de\u011ferlerinin toplam\u0131na o say\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f bi\u00e7imi denir.
\n a b c = 103 . a + 10 . b + c
\n | | |
\n | | |
\n | | | 100 lar (birler) basama\u011f\u0131
\n | |
\n | | 101 ler (onlar) basama\u011f\u0131
\n |
\n| 102 ler (y\u00fczler) basama\u011f\u0131
\nab = 10 . a + b
\nabc = 100 . a + 10 . b + c
\naaa = 111 . a
\nab + ba = 11 . (a + b)
\nab \u2013 ba = 9 . (a \u2013 b)
\nabc \u2013 cba = 99 . (a \u2013 c)
\nC. TABAN<\/p>\n
Bir say\u0131 sisteminde say\u0131n\u0131n basamak de\u011ferlerini g\u00f6stermek i\u00e7in kullan\u0131lan d\u00fczene taban denir.
\n T taban olmak \u00fczere,
\n (abcd)T = a . T3 + b . T2 + c . T + d dir.
\nBurada,
\nT, 1 den b\u00fcy\u00fck do\u011fal say\u0131d\u0131r.
\na, b, c, d rakamlar\u0131 T den k\u00fc\u00e7\u00fckt\u00fcr.
\nTaban belirtmeden kulland\u0131\u011f\u0131m\u0131z say\u0131lar 10 luk tabana g\u00f6redir.
\n(abc, de)T = a . T 2 + b . T + c + d . T \u2013 1 + e . T \u2013 2 dir.
\n1. Onluk Tabanda Verilen Say\u0131n\u0131n Herhangi Bir Tabana \u00c7evrilmesi
\n Onluk tabanda verilen say\u0131, hangi tabana \u00e7evrilmek isteniyorsa, o tabana b\u00f6l\u00fcn\u00fcr. B\u00f6l\u00fcm tekrar tabana b\u00f6l\u00fcn\u00fcr. Bu i\u015fleme b\u00f6l\u00fcm 0 olana kadar devam edilir.
\n Ard\u0131\u015f\u0131k olarak yap\u0131lan bu b\u00f6lmelerden kalanlar sondan ba\u015flayarak (ilk kalan son rakam olacak \u015fekilde) s\u0131ralanmas\u0131yla istenen say\u0131 olu\u015fturulur.
\n2. Herhangi Bir Tabanda Verilen Say\u0131n\u0131n 10 luk Tabana \u00c7evrilmesi
\n Herhangi bir tabandan 10 luk tabana ge\u00e7irilirken verilen say\u0131, ait oldu\u011fu tabana g\u00f6re \u00e7\u00f6z\u00fcmlenir.
\n3. Herhangi Bir Tabanda Verilen Say\u0131n\u0131n Ba\u015fka Bir Tabanda Yaz\u0131lmas\u0131
\n Herhangi bir tabanda verilen say\u0131 \u00f6nce 10 taban\u0131na \u00e7evrilir. Bulunan de\u011fer istenen tabana d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr.
\n4. Taban Aritmeti\u011finde Toplama, \u00c7\u0131karma, \u00c7arpma \u0130\u015flemleri
\n De\u011fi\u015fik tabanlarda yap\u0131lacak i\u015flemler 10 luk sistemdekine benzer bi\u00e7imde yap\u0131l\u0131r.
\n T taban\u0131nda verilen say\u0131larda toplama ve \u00e7arpma i\u015flemleri bilinen cebirsel i\u015flem gibi yap\u0131l\u0131r, ancak sonu\u00e7 T den b\u00fcy\u00fck \u00e7\u0131karsa i\u00e7inden T ler at\u0131l\u0131p kalan al\u0131n\u0131r. At\u0131lan T adedi elde olarak bir sonraki basama\u011fa ilave edilir.
\n \u00c7\u0131karma i\u015flemi yap\u0131l\u0131rken 10 luk sistemdekine benzer bi\u00e7imde, bir soldaki basamaktan 1 (bir) almak gerekti\u011finde, bu 1 in aktar\u0131ld\u0131\u011f\u0131 basama\u011fa katk\u0131s\u0131 taban\u0131n say\u0131 de\u011feri kadard\u0131r. Fakat al\u0131nd\u0131\u011f\u0131 basamaktaki rakam 1 azal\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"
A. SAYI BASAMA\u011eI Bir say\u0131y\u0131 olu\u015fturan rakamlardan her birine bu say\u0131n\u0131n basama\u011f\u0131 denir. Bir do\u011fal say\u0131da ka\u00e7 tane rakam varsa say\u0131 o kadar basamakl\u0131d\u0131r. 243 \u00fc\u00e7 basamakl\u0131 bir say\u0131d\u0131r. B. \u00c7\u00d6Z\u00dcMLEME Do\u011fal say\u0131y\u0131 olu\u015fturan rakamlar\u0131n bulundu\u011fu yerdeki de\u011ferine basamak de\u011feri denir. Basamak de\u011ferlerinin toplam\u0131na o say\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f bi\u00e7imi denir. a b c = 103 . …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7296,7355,7354,7356],"class_list":["post-3136","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-dogal-sayi","tag-rakam","tag-sayi-sistemleri","tag-taban-aritmetigi"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3136"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3136\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}