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sistemlerde 2'lik taban kullanıldığı için taban aritmetiği önemli. 8'lik ve 16'lık taban ile tabanlar arası dönüşümlerin nasıl yapıldığını bu videoda anlatıyorum. 0:00 Taban Aritmetiğine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3336207/27496d0edb12c392452c822f58bf4ffe/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/DlXtDgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=videoid:18167250749230790518","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan sayısal sistemler ve taban aritmetiği hakkında kapsamlı bir eğitim içeriğidir.","Video, farklı sayı tabanları (ikilik, onluk, sekizlik, onaltılık) ve ölçü birimleri (kilobayt, megabyte, mebbyte, tera, peta) hakkında detaylı bilgiler sunmaktadır. Eğitmen, her bir tabanın nasıl çalıştığını, basamak değerlerini ve sayıların farklı tabanlar arasında nasıl çevrileceğini örneklerle açıklamaktadır. Özellikle onluk tabandaki sayıların ikilik, sekizlik ve onaltılık tabana dönüştürülmesi için iki farklı yöntem gösterilmektedir.","Video ayrıca bilgisayarların bit yapısı, değişken türleri ve farklı ülkelerdeki ondalık işaret kullanımındaki farklılıklar gibi konuları da içermektedir. Eğitmen, farklı taban sistemlerinin neden kullanıldığını sorgulayarak videoyu sonlandırmaktadır."]},"endTime":2067,"title":"Taban Aritmetiği ve Sayı Dönüşümleri Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Taban Aritmetiği ve Önemi","list":{"type":"unordered","items":["Sayısal sistemlerde taban aritmetiği önemlidir çünkü her şey elektriksel olarak ya toprak ya da gerilim olarak gösterilir.","Bilgisayarlar ikilik tabanda çalışır ve bu tabanda sayılar uzun ve basamakları büyük olur, bu nedenle insanlar onluk tabana alıştığı için bu sayıları anlamak zor olabilir.","Bilgisayarlar tüm sayısal sistemleri ikilik tabanda saklar, ancak insanlar ve yazılımcılar bu sayıları okurken ve işlem yaparken farklı tabanlar kullanır."]},"beginTime":8,"endTime":106,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=8&ask_summarization=1"},{"index":1,"title":"Onluk Taban İşlemleri","list":{"type":"unordered","items":["Onluk tabanda bir sayı, her basamağındaki rakamın o basamağın değeriyle çarpılmasıyla hesaplanır.","En soldaki basamak en anlamlı basamak (most significant digit) olarak adlandırılır çünkü sayının değerine en fazla katkıda bulunur.","Virgüllü sayılarda, virgülün sağından itibaren değerler 10 üzeri eksi bir, eksi iki şeklinde küçülerek devam eder."]},"beginTime":106,"endTime":242,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=106&ask_summarization=1"},{"index":2,"title":"Farklı Ülkelerde Sayı Gösterimi","list":{"type":"unordered","items":["Türkiye'de binlikleri ayırmak için nokta, ondalıkları ayırmak için virgül kullanılır.","İngiltere ve Amerika'da on binlikleri ayırmak için virgül, ondalıkları ayırmak için nokta kullanılır.","Avrupa'da da Türkiye'deki gibi virgül kullanılır."]},"beginTime":242,"endTime":280,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=242&ask_summarization=1"},{"index":3,"title":"İkilik Taban ve Bellek Ölçüleri","list":{"type":"unordered","items":["Sayısal sistemlerde ikilik taban kullanılır ve ikinin kuvvetleri (1, 2, 4, 8, 16, 32, 64, 128, 256, 512) önemlidir.","Bellek boyutu ve adresi gösterirken 2 üzeri 10 şeklinde gösterilir, bu nedenle 1 kilobayt 1024 byte'dır.","2 üzeri 20 şeklinde yaklaşık bir milyon olduğu için \"megabyte\" (MB) olarak adlandırılır, 2 üzeri 30 şeklinde ise \"terabyte\" (TB) olarak adlandırılır."]},"beginTime":280,"endTime":367,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=280&ask_summarization=1"},{"index":4,"title":"Sayı Sistemleri ve Taban Kavramları","list":{"type":"unordered","items":["Mega, tera, peta, katrilyon gibi terimler sırasıyla bir milyon, milyar, trilyon ve katrilyon anlamına gelir, ancak bizim sistemimizde kilobayt, megabayt, gigabayt gibi terimler 250, 100, 200, 30, 40, 50, 60 gibi değerler anlamına gelir.","Farklı sayı tabanları kullanılabilir: beşlik, altılık, yedilik, yüzlük gibi, ancak insanlar onluk tabanı kullanmalarının nedeni on parmaklarının olmasıdır.","Bu ders kapsamında en çok ikilik, sekizlik ve onaltılık tabanlar kullanılacaktır."]},"beginTime":373,"endTime":468,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=373&ask_summarization=1"},{"index":5,"title":"Sayı Tabanlarında Hesaplama","list":{"type":"unordered","items":["Herhangi bir sayı tabanında bir sayıyı gösterirken, rakamların değerleri tabanın kuvvetleriyle çarpılır (örneğin 5492 sayısı 5³×4²×9¹×2⁰ şeklinde gösterilir).","Herhangi bir sayı tabanında tabandan daha büyük bir rakam kullanılamaz, bu nedenle taban en az 10 olmak zorundadır.","Virgüllü sayılar tabandan büyük kuvvetlerle çarpılarak hesaplanır (örneğin 41,23 sayısı 5³×4²×5¹×2⁰+5²×1×2⁻¹+5¹×2⁻²+5⁰×2⁻³ şeklinde gösterilir)."]},"beginTime":468,"endTime":561,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=468&ask_summarization=1"},{"index":6,"title":"Farklı Tabanlarda Sayılar","list":{"type":"unordered","items":["Beşlik tabanda 4123 sayısı 5³×4²×5¹×2⁰=4123, onluk tabanda ise 538'e eşittir.","Sekizlik tabanda 712 sayısı 8²×7+8¹×1+8⁰×2=458, onluk tabanda ise 458'e eşittir.","Sayı tabanı ne kadar küçükse rakam sayısı o kadar büyük olur, aynı değeri göstermek için daha fazla basamak kullanılır."]},"beginTime":561,"endTime":739,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=561&ask_summarization=1"},{"index":7,"title":"İkilik Taban","list":{"type":"unordered","items":["Birlik taban sadece 1 rakamını içerir ve çok kullanılmadığı için tercih edilmez.","İkilik taban toprak ve gerilim nedeniyle sayısal tasarımda sıkça kullanılır.","İkilik tabanda sadece 0, 1 rakamları vardır ve çarpma işlemi nispeten daha kolaydır çünkü sonuç ya sıfır ya da o basamağın değerinin kendisidir."]},"beginTime":739,"endTime":840,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=739&ask_summarization=1"},{"index":8,"title":"Farklı Taban Sistemleri","list":{"type":"unordered","items":["Onluk, ikilik, sekizlik ve onaltılık tabanlar kullanılır; onaltılık tabanda sıfırdan F'ye kadar harfler kullanılır.","Sekizlik tabanda yedi'den sonra on gelir, onaltılık tabanda ise sıfırdan F'ye kadar onaltı tane rakam vardır.","Onluk tabandaki bir sayıyı ikilik tabana çevirmek için iki farklı yöntem vardır."]},"beginTime":843,"endTime":914,"href":"/video/preview/18167250749230790518?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=843&ask_summarization=1"},{"index":9,"title":"Onluk Tabandaki Sayıları İkilik Tabana Çevirme","list":{"type":"unordered","items":["Onluk tabandaki bir sayıyı ikilik tabana çevirmenin birinci yolu, sayının içindeki en büyük iki'nin kuvvetini bulup, geriye kalanları hesaplamaktır.","İkinci yöntem, sayıyı ikiye ikiye bölerek kalanları sağdan sola doğru yazmaktır.","Büyük sayıları ikilik tabana çevirirken, içinde iki'nin kuvveti olan sayıları bulmak işlemi 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Arı Matematik Atölyem soru bankasının ayrıntılı bir şekilde çözümlerini bulabileceğiniz, takıldığınız yerde yorumlarda soru...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3072403/5f3e7de9a419b634dbd564e35c9c5608/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Pu5XPQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=videoid:400404167959668656","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, Arı Yayınları Atölyem kitabının değerlendirme testinin 14. bölümündeki soruları çözmektedir.","Videoda rasyonel sayılar, doğal sayılar, tam sayılar ve sayı doğrusu konularında toplam 15 soru çözülmektedir. 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Video, öğrencilere bu konulardaki test sorularını nasıl çözeceklerini göstermek amacıyla hazırlanmıştır."]},"endTime":934,"title":"Arı Yayınları Atölyem Kitabı Değerlendirme Testi 14 Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Arı Yayınları Atölyem Kitabı Değerlendirme Testi","list":{"type":"unordered","items":["Eğitmen, Arı Yayınları Atölyem kitabı değerlendirme testinin on dördüncü bölümünü ele alacağını belirtiyor.","İlk soruda, verilen kartlardan hangisinin atılırsa alan kartların tamamını üzerine yazan sayılar rasyonel sayı olacağını soruyor.","Rasyonel sayı, a/b şeklinde yazılması gereken ve paydadaki sayının sıfır olmaması gereken sayılardır."]},"beginTime":7,"endTime":72,"href":"/video/preview/400404167959668656?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=7&ask_summarization=1"},{"index":1,"title":"Rasyonel Sayılar Hakkında Sorular","list":{"type":"unordered","items":["Rasyonel sayı olduğuna göre a yerine 5 yazılamaz çünkü payda sıfır olamaz.","Hem doğal sayı hem de tam sayı olan sayı, 15/3 = 5'tir.","Tam sayı hem de rasyonel sayı olan sayılar, -5 ve -30/2 = 15'tir."]},"beginTime":72,"endTime":191,"href":"/video/preview/400404167959668656?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=72&ask_summarization=1"},{"index":2,"title":"Sayı Doğrusu ve Rasyonel Sayılar","list":{"type":"unordered","items":["-2 1/3 rasyonel sayısının sayı doğrusunda gösterimi, -2 ile -3 arasında, paydada 3 olduğu için 3 parçaya ayrılmış ve -2'den itibaren 1 birim ilerleyerek bulunur.","Negatif sayı pay kısmında, kesir çizgisinde veya payda da olabilir.","-3/5 ve -3/5 ifadeleri birbirine eşittir çünkü pay ve paydadaki sayılar 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Ayrıca öğrenmenin bireysel olma özelliğini vurgulayarak, çocukların gelişim süreçlerindeki farklılıkların nasıl değerlendirileceği ve eğitimin bireysel özelliklere göre şekillendirilmesi gerektiği anlatılmaktadır.","Video, eğitimciler ve ebeveynler için farklılaşma konusunda somut örnekler ve pratik bilgiler sunmaktadır. Akademik hayata geçiş sürecinde yaşanan sorunlar, ezberci öğrenme yaklaşımları ve pratik-teorik bilginin birbirine bağlanmasının önemi gibi konular da örneklerle açıklanmaktadır."]},"endTime":1743,"title":"Farklılaşma ve Eğitimde Bireyselleştirme Üzerine Eğitim Sunumu","beginTime":0}],"fullResult":[{"index":0,"title":"Farklılaştırmayı Anlama","list":{"type":"unordered","items":["Farklılaştırmayı tanımlamak için Sokrates örneği verilmiştir; Sokrates'in karısına \"öldürseler daha mıydı?\" cevabı farklılık algısını göstermektedir.","Farklılaştırmayı bir kalıba sığdırmak kolay değildir, eğitim-öğretim ortamına aktarırken somut örneklerle belirginleştirmek gerekir.","Adres tarif etmekte zorlanan biri gibi bazı farklılıkların işe yaradığını görmek önemlidir."]},"beginTime":2,"endTime":124,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=2&ask_summarization=1"},{"index":1,"title":"Farklılığın Algılanışı","list":{"type":"unordered","items":["Farklılıkların nasıl ve hangi yaşta yaşandığı önemlidir; örneğin bir çocuğun \"saçınızı boyatırsanız daha iyi görürsünüz\" sözü, bir bayanın aynı sözü söylemesinden farklı bir algıya neden olur.","Farklılıkları problem olarak mı yoksa fark olarak mı görmek bakış açısını belirler; problem olarak gördüğümüzde farklı bakış açısıyla yaklaşırız.","Bazı farklılıklar başa dert olabilir, örneğin bazı çocuklar zaman zaman uyaranları ayna görüntüsü alabilir, bu durum sürekli değil."]},"beginTime":124,"endTime":246,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=124&ask_summarization=1"},{"index":2,"title":"Farklılık Algılamanın Zorlukları","list":{"type":"unordered","items":["Çocuğun yaşadığı farklılığın başa dert mi yoksa işe yarayacak bir durum mu olduğunu algılamak önemlidir.","Bazı ebeveynler farklılıkları anlamak yerine pratik çözümler arayabilir, örneğin \"canı isteyince düzgün okuyor\" gibi açıklamalar yapabilir.","Farklılık konusunu istismar edenler de olabilir, çocuklara çeşitli paketler ve ürünler satmak için \"dikkat geliştirici\" gibi ifadeler kullanabilir."]},"beginTime":246,"endTime":416,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=246&ask_summarization=1"},{"index":3,"title":"Farklılık Algılamanın Doğru Yolu","list":{"type":"unordered","items":["Farklılığı problem olarak algılamak yerine doğru referans noktaları seçmek önemlidir.","İnsanı metabolizmik bir holistik yapı olarak algılamak için bilişsel psikoloji alanında çalışan kişiler \"Duygu, Düşünce ve Davranış\" üçlüsünü kullanır.","Farklılık, bir alanda zayıflık veya güç olarak ortaya çıkabilir ve bu durum diğer alanlara da yansır."]},"beginTime":416,"endTime":528,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=416&ask_summarization=1"},{"index":4,"title":"Farklılığın Etkileri","list":{"type":"unordered","items":["Farklılık farkının farkında olma şekline dönüşürse, bu durum duygusal probleme dönüşebilir.","Farklılık farkında olma durumu duygusal baskıyı yaratarak davranışsal özelliklerde değişikliğe neden olabilir.","Farklılık, artı ya da eksi yönde farklılaşması, ortaya çıkan üründen keyif alma süreci ve performans ile ilgilidir."]},"beginTime":528,"endTime":691,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=528&ask_summarization=1"},{"index":5,"title":"Öğrenmenin Özel Özellikleri","list":{"type":"unordered","items":["Öğrenme parmak izi kadar özel bir olgu olduğundan, öğrenmeye doğru giderken yaşa, gelişimsel özelliklere ve bireysel farklılıklara göre malzeme konulmalıdır.","İnsanlar önce mağaralara resim çizmiş, sonra kayalara yazı yazmıştır.","Çocukların gelişiminde referans aralıkları önemlidir; örneğin bir yaşındaki çocukların yürümeye başlaması normaldir, dokuz aylık yürümesi \"üzerin\" olarak değerlendirilmez."]},"beginTime":696,"endTime":768,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=696&ask_summarization=1"},{"index":6,"title":"Çocukların Farklılıkları ve Öğrenme","list":{"type":"unordered","items":["Çocukların farklılıklarını görüp enerjiye dönüştürmek için referans noktalarına ihtiyaç vardır.","\"Çok zeki ama çalışmıyor\" ifadesi, çocuklarda sıkça görülen bir durumdur.","Akademik hayata köprü oluşturacak etkinlikler önemlidir, aksi takdirde öğrenme sürecinde sorunlar yaşanabilir."]},"beginTime":768,"endTime":855,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=768&ask_summarization=1"},{"index":7,"title":"Öğrenme Sürecindeki Sorunlar","list":{"type":"unordered","items":["Öğrencilerin anladığını düşünmesi ve aslında anlamadığı durumlar öğrenme sürecinde sıkça görülür.","Bazı özel okullarda öğrencilerin soruları paylaşarak cevapları bir araya getirme yöntemi uygulanmaktadır.","Pratik bilginin teorik olarak en iyi teoriyle açıklanması ve teorik bilginin pratikte kendini göstermesi öğrenme sürecinde önemlidir."]},"beginTime":855,"endTime":973,"href":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=855&ask_summarization=1"}],"linkTemplate":"/video/preview/5099270428224941376?parent-reqid=1769457698934708-3119051125405412974-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Ergin+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Eğitimde Bir Adım Ötesi - Yrd. 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