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Daha sonra örnekler üzerinden haritanın nasıl oluşturulacağı, değişkenlerin nasıl yerleştirileceği ve sadeleştirme işlemlerinin nasıl yapılacağı gösterilmektedir."]},"endTime":1682,"title":"Üç Değişkenli Karno Haritası Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üç Değişkenli Karno Haritası Tanıtımı","list":{"type":"unordered","items":["Bu derste üç değişkenli karno haritası, gruplandırma, ifadelerin bulunması ve sadeleştirme konuları anlatılacak.","Karno haritalarında gruplama yaparken sadece \"1\" değerleri dikkate alınır ve boş yerler olan \"0\" değerleri gruplama için önem taşımaz.","Karno haritalarında hedef en çok gruplama yapmaktır, hiçbir \"1\" açıkta kalmamalıdır ve gruplar 1, 2, 4, 8, 16 gibi 2'nin üst katları şeklinde olmalıdır."]},"beginTime":8,"endTime":127,"href":"/video/preview/3570487344503262106?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=8&ask_summarization=1"},{"index":1,"title":"Üç 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bu videoada \"Karnaugh Map Simplification\" konusu ile ilgili farklı soru tiplerini çözdüm. Biliyorsunuz ki Türkiye'de bir çok üniversite İngilizce eğitim vermekte. Ayrıca iş hayatında...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4830925/f3370d911bfaf23fed61801e06b71375/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/DK_uQQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=videoid:10944411569141055760","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan mantık devreleri konusunda eğitim içeriğidir.","Video, boolean fonksiyonların Karnaugh haritası kullanılarak nasıl sadeleştirileceğini adım adım anlatmaktadır. İlk bölümde beş farklı soru üzerinden üç ve dört değişkenli fonksiyonların sadeleştirilmesi, product of sum şeklinde ifade edilmesi ve don't carry condition'lar içeren fonksiyonların sadeleştirilmesi gösterilirken, ikinci bölümde mantık fonksiyonlarının minterm ve maxterm şeklinde ifade edilmesi, AND, OR, NAND, NOR ve EXOR gate'lerinin kullanımı ve bunların birbirleriyle dönüştürülmesi konuları ele alınmaktadır.","Videoda ayrıca mantık fonksiyonlarının devrelerde nasıl çizileceği, exor gate'lerin nor gate'lere nasıl dönüştürüleceği ve maxterm'lerin minterm'lere nasıl çevrileceği gibi konular da detaylı olarak anlatılmaktadır."]},"endTime":1221,"title":"Boolean Fonksiyonların Karnaugh Haritası ile Sadeleştirilmesi ve Mantık Devreleri","beginTime":0}],"fullResult":[{"index":0,"title":"Üç Değişkenli Fonksiyonun Sadeleştirilmesi","list":{"type":"unordered","items":["Bir fonksiyonun üç değişkenli karnome kullanılarak sadeleştirilmesi isteniyor.","Fonksiyonun her terimi üç değişken içermeli, eksik olan terimler (z) eklenerek tamamlanıyor.","Karnome çizilerek minterm değerleri (2, 6, 7) bulunuyor ve gruplandırılarak sadeleştirilmiş fonksiyon x y + x' z' şeklinde elde ediliyor."]},"beginTime":4,"endTime":117,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=4&ask_summarization=1"},{"index":1,"title":"Dört Değişkenli Fonksiyonun Sadeleştirilmesi","list":{"type":"unordered","items":["Dört değişkenli (w, x, y, z) bir fonksiyonun sadeleştirilmesi için dört değişkenli karnome kullanılıyor.","Eksik olan inputlar (y, y', z, z') eklenerek her ifade minterm ifade ediyor.","Karnome çizilerek minterm değerleri (1, 4, 5, 10, 12, 13) bulunuyor ve gruplandırılarak sadeleştirilmiş fonksiyon x y' + x' z' + x' y' z' şeklinde elde ediliyor."]},"beginTime":117,"endTime":390,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=117&ask_summarization=1"},{"index":2,"title":"Product of Sum Şeklinde Fonksiyonun Sadeleştirilmesi","list":{"type":"unordered","items":["Bir fonksiyonun product of sum şeklinde ifade edilmesi isteniyor.","Fonksiyonun minterm değerleri (1, 2, 5, 8, 10, 13) bulunuyor ve f'in tersi fonksiyonunun minterm değerleri (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15) hesaplanıyor.","Karnome çizilerek sıfırlar gruplandırılarak sadeleştirilmiş fonksiyon (x' + z) (x' + y') (y' + z') (x + z') şeklinde elde ediliyor."]},"beginTime":390,"endTime":604,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=390&ask_summarization=1"},{"index":3,"title":"Don't Carry Condition'lar İçeren Fonksiyonun Sadeleştirilmesi","list":{"type":"unordered","items":["Dört inputlu (a, b, c, d) bir fonksiyonda don't carry condition'lar (sonucun 1 olduğunu önemsemediğimiz input değerleri) bulunuyor.","Karnome çizilerek minterm değerleri ve don't carry condition'lar gruplandırılıyor.","Sadeleştirilmiş fonksiyon a' d' b' c' şeklinde elde ediliyor."]},"beginTime":604,"endTime":707,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=604&ask_summarization=1"},{"index":4,"title":"NAND Gate Şeklinde Fonksiyonun Sadeleştirilmesi","list":{"type":"unordered","items":["Bir fonksiyonun NAND gate şeklinde ifade edilmesi isteniyor.","Fonksiyonun sadeleştirilmesi için eksik olan inputlar (b) eklenerek her ifade minterm ifade ediyor.","Minterm değerleri bulunuyor ve sadeleştirme işlemi yapılıyor."]},"beginTime":707,"endTime":839,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=707&ask_summarization=1"},{"index":5,"title":"Minterm Değerleri ve Fonksiyon Sadeleştirme","list":{"type":"unordered","items":["Minterm değerleri için karma çizilerek f fonksiyonu some of mint şeklinde yazılır.","Sadeleştirme işlemi yapıldığında, birler düzenli bir şekilde yerleştirilmiş ve c ve d prime olarak gruplandırılmıştır.","f fonksiyonu c artı d prime şeklinde yazılabilir."]},"beginTime":842,"endTime":912,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=842&ask_summarization=1"},{"index":6,"title":"NAND Gate Kullanımı","list":{"type":"unordered","items":["Fonksiyon, c'ye c prime ve d'ye d verilerek NAND gate şeklinde ifade edilebilir.","NAND gate, girişlerine not atıldığında x ve y'nin AND'ının tersini verir.","Bu fonksiyon sadece bir tane NAND gate kullanılarak basit bir şekilde ifade edilebilir."]},"beginTime":912,"endTime":991,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=912&ask_summarization=1"},{"index":7,"title":"EXOR ve NOR Gate Dönüşümü","list":{"type":"unordered","items":["EXOR gate'lerle ifade edilmiş bir fonksiyon, NOR gate'lerle yazılabilir.","EXOR'un yazılımı birincinin tersi çarpı ikincinin tersi artı bir çarpı iki şeklindedir.","AND gate'lerin girişlerine not atıldığında NOR gate'e dönüşür."]},"beginTime":991,"endTime":1144,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=991&ask_summarization=1"},{"index":8,"title":"MAX Term ve Minterm Dönüşümü","list":{"type":"unordered","items":["MAX term ve minterm dönüşümü için, MAX term haricinde kalan ifadeler mintermlerdir.","Minterm değerleri yerine yazıldığında product of maxterm'e çevrilmiş olur.","Dört değişkenli bir karma çizilerek minterm değerleri yerine yazıldığında, fonksiyon direkt d olarak yazılabilir."]},"beginTime":1144,"endTime":1203,"href":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1144&ask_summarization=1"}],"linkTemplate":"/video/preview/10944411569141055760?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Digital Design Recitation 3 | Karnaugh Map Simplification | Türkçe Anlatım İngilizce 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Patreon destekçilerimiz arasına katılabilirsiniz ► / elektronikderslerim Karnaugh haritalarına devam ediyoruz. Bu dersimizde beş değişkenli karnaugh haritası anlatılarak örneklerle konuyu...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2714037/045a6cd3c363339541def2cd35e53395/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/FT4lFwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=videoid:11156239767681050650","teaser":[{"list":{"type":"unordered","items":["Bu video, Ediz Hoca tarafından sunulan bir eğitim dersidir. Eğitmen, mantık devreleri konusunda beş değişkenlik Karno haritası konusunu detaylı bir şekilde anlatmaktadır.","Videoda beş değişkenlik Karno haritasının nasıl oluşturulacağı, değişkenlerin nasıl yerleştirileceği ve mantık ifadelerinin nasıl sadeleştirileceği adım adım gösterilmektedir. Eğitmen önce beş değişkenli Karno haritasının 32 adet kutucuktan oluştuğunu açıklar, ardından haritanın nasıl oluşturulacağını, değişkenlerin nasıl yerleştirileceğini ve simetri prensibini uygulamalı olarak gösterir.","Video, Karno haritalarının zaman tasarrufu sağladığı, maliyet düşürdüğü ve istenen işlemi elde etmek için daha etkili olduğu vurgusuyla devam eder. Eğitmen, iki değişkenli, üç değişkenli, dört ve beş değişkenli Karno haritalarını incelediğini belirterek, gruplandırma yöntemlerini ve çıkış ifadelerini nasıl yazılacağını açıklar. Video, örnek problemlerin çözümüyle devam edip, bir sonraki derste Karno haritası ile ilgili örnek alıştırmalar yapılacağını duyurarak sona erer."]},"endTime":2422,"title":"Beş Değişkenlik Karno Haritası ve Mantık İfadelerinin Sadeleştirilmesi","beginTime":0}],"fullResult":[{"index":0,"title":"Beş Değişkenlik Karno Haritası","list":{"type":"unordered","items":["Ediz hocam, beş değişkenlik Karno haritası dersini ele alacak.","Beş değişkenlik Karno haritası A, B, C, D, E gibi beş farklı değişkenden oluşur.","Beş değişkenli bir Karno haritasında 2 üzeri 5, yani 32 adet kutucuk bulunur."]},"beginTime":7,"endTime":99,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=7&ask_summarization=1"},{"index":1,"title":"Karno Haritasının Oluşturulması","list":{"type":"unordered","items":["Karno haritası 16'lı iki parçadan oluşarak 32 adet kutucuk oluşturularak oluşturulur.","Haritada ilk iki satır AB, son satır ise C değişkenlerini içerir.","Haritada simetriik bir yapı vardır; ilk iki satırın simetrisi son satırda yer alır."]},"beginTime":99,"endTime":586,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=99&ask_summarization=1"},{"index":2,"title":"Karno Haritasına Değişkenlerin Yerleştirilmesi","list":{"type":"unordered","items":["Karno haritasındaki kutucuklara değişkenlerin değerleri (A, B, C, D, E) yerleştirilir.","Değişkenlerin değerleri haritada belirli bir sırada yerleştirilir.","Üç değişkenli ve dört değişkenli Karno haritaları ile beş değişkenli harita mantık olarak aynıdır."]},"beginTime":586,"endTime":743,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=586&ask_summarization=1"},{"index":3,"title":"Karno Haritası Örneği ve Sadeleştirme","list":{"type":"unordered","items":["Örnek olarak Y = A.C' + A'.B.C' + A'.B'.C'.D ifadesi Karno haritasına yerleştirilir.","Karno haritasında belirli kutucuklara 1 değerleri yerleştirilir.","Dörtlü gruplama yöntemi kullanılarak ifade sadeleştirilir ve sonucunda Y = A'.C'.D elde edilir."]},"beginTime":743,"endTime":1101,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=743&ask_summarization=1"},{"index":4,"title":"Karno Haritasının Faydaları","list":{"type":"unordered","items":["Karno haritaları karmaşık ifadeleri basit ifadelere dönüştürür.","Karno haritaları kullanılarak zaman tasarrufu sağlanır.","Karno haritaları kullanılarak maliyet azaltma sağlanır."]},"beginTime":1101,"endTime":1164,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1101&ask_summarization=1"},{"index":5,"title":"Kar Map'ı Kullanarak Sadeleştirme","list":{"type":"unordered","items":["Birinci örnekte y = a, b, c, d, e ifadesi Kar Map'ı kullanarak sadeleştirilir.","Kar Map'ta birimler yerleştirilerek gruplandırmalar yapılır ve çıkış ifadesi y = a, b, d, e + a, b, c, d bulunur."]},"beginTime":1165,"endTime":1598,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1165&ask_summarization=1"},{"index":6,"title":"İkinci Kar Map Örneği","list":{"type":"unordered","items":["İkinci Kar Map'te dört tane ifade bulunur ve sadeleştirme yapılır.","Birinci ifade y = a, b, c'dir.","İkinci ifade için gruplandırma yapılır ve çıkış ifadesi y = a + a, b, c, d'dir."]},"beginTime":1598,"endTime":2121,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1598&ask_summarization=1"},{"index":7,"title":"Gruplandırma Yöntemleri","list":{"type":"unordered","items":["Kar Map'lerde gruplandırma yaparken mümkün olduğunca fazla biri gruplandırmaya dahil edilmelidir.","Gruplandırma yaparken iki, dört, sekiz gibi iki'nin katları şeklinde gruplar oluşturulmalıdır.","Kar Map'lerde farklı renkler kullanılarak gruplar belirlenir ve çıkış ifadeleri yazılır."]},"beginTime":2121,"endTime":2257,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=2121&ask_summarization=1"},{"index":8,"title":"Karno Haritası Gruplandırma Yöntemleri","list":{"type":"unordered","items":["Beş değişkenli Karno haritasında farklı gruplandırma yöntemleri gösteriliyor: sekizli, dörtlü ve ikili gruplandırma yapılabilir.","Gruplandırma işlemi sonucunda çıkış ifadeleri bulunuyor; örneğin üç farklı renk (yeşil, mavi, mor) ile üç ifade, beş farklı renk (yeşil, mavi, mor, kahverengi, turuncu) ile beş ifade elde ediliyor."]},"beginTime":2258,"endTime":2345,"href":"/video/preview/11156239767681050650?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=2258&ask_summarization=1"},{"index":9,"title":"Dersin Özeti ve Öneriler","list":{"type":"unordered","items":["İki değişkenli, üç değişkenli, dört değişkenli ve beş değişkenli Karno haritaları işlenmiş ve bol örnek çözülmüş.","Konuyu pekiştirmek için diğer kaynaklardan da örnek çözerek alıştırma yapma tavsiye ediliyor.","Bir sonraki derste Karno haritası konularının pekiştirilmesi için örnek alıştırmalar yapılacağı 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Daha farklı soru tiplerini bu dersin recitation...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3912477/bb8769a27b6d35a2abf94041cc0170e0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RG5fQQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=videoid:13460545016042903216","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan mantık devreleri konulu eğitim dersidir. Eğitmen, mantık fonksiyonlarının sadeleştirilmesi yöntemlerini detaylı şekilde anlatmaktadır.","Video, Karno haritası yönteminin temel prensiplerinden başlayarak, iki, üç ve dört değişkenli Karno haritalarının çizimi ve kullanımı ile devam etmektedir. Daha sonra minterm sadeleştirme teknikleri, soma product ve product of sum formlarında sadeleştirme yöntemleri, don't care condition'ların kullanımı ve NAND gate'lerin universal gate olarak kullanımı ele alınmaktadır.","Video, mantık devrelerinin sadeleştirilmesi için kullanılan çeşitli teknikleri adım adım göstermekte ve örneklerle açıklamaktadır. Özellikle uzun fonksiyonların Karno haritası kullanılarak nasıl daha kısa ve basit ifadelerle yazılacağı, farklı mantık fonksiyonlarının (NOT, AND, OR) NAND gate'lerle nasıl ifade edilebileceği gibi konular detaylı olarak işlenmektedir."]},"endTime":2596,"title":"Mantık Devreleri ve Karno Haritası Eğitimi","beginTime":0}],"fullResult":[{"index":0,"title":"Gate Level Minimization ve Karno Map","list":{"type":"unordered","items":["Gate level limitation, karmaşık denklemleri en az gate ile devre olarak uygulamak için gate level minimization yöntemi kullanılır.","Karno map (Carnap map), iki değişkenli fonksiyonların mintermlerini gösteren bir yöntemdir.","Karno map'te satırlar ve sütunlar değişkenleri, kesişim noktaları ise mintermleri temsil eder."]},"beginTime":5,"endTime":116,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=5&ask_summarization=1"},{"index":1,"title":"Karno Map Çizimi ve Kullanımı","list":{"type":"unordered","items":["Karno map'te verilen bir fonksiyonun mintermleri çizilerek fonksiyonun denklemi yazılabilir.","Karno map'te birler yan yana ve alt alta gruplanarak fonksiyonun denklemi sadeleştirilebilir.","Karno map'te gruplama yaparken çaprazlama gruplama yapılamaz, sadece yan yana ve alt alta gruplama yapılabilir."]},"beginTime":116,"endTime":421,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=116&ask_summarization=1"},{"index":2,"title":"Üç Değişkenli Karno Map","list":{"type":"unordered","items":["Üç değişkenli fonksiyonlar için Karno map'te üç satır ve üç sütun bulunur.","Üç değişkenli Karno map'te satırlar ve sütunlar değişkenleri, diğer kısımlar ise değişkenlerin prime'larını temsil eder.","Üç değişkenli Karno map'te gruplama yaparken, birler yan yana ve alt alta gruplanarak fonksiyonun denklemi sadeleştirilebilir."]},"beginTime":421,"endTime":473,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=421&ask_summarization=1"},{"index":3,"title":"Fonksiyon Sadeleştirme Yöntemleri","list":{"type":"unordered","items":["Fonksiyonlar hem boolean algebra yöntemleri hem de Karno map kullanılarak sadeleştirilebilir.","Boolean algebra yöntemleriyle fonksiyon sadeleştirilirken, maxtermler mintermlere çevrilerek işlem yapılır.","Karno map yöntemleriyle fonksiyon sadeleştirilirken, mintermlerin değerleri Karno map'te işaretlenir ve gruplama yapılarak fonksiyonun denklemi bulunur."]},"beginTime":473,"endTime":688,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=473&ask_summarization=1"},{"index":4,"title":"Karno Haritası Kullanımı","list":{"type":"unordered","items":["Karno haritasında x ve y'nin kesişimi x'y' olarak gösterilir.","Karno haritası çizildikten sonra, hangi minterm değerlerinde bir ise onlara bir yazılır.","Karno haritasında uçlardaki birler gruplanabilir, dünya haritası gibi düşünülebilir."]},"beginTime":694,"endTime":823,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=694&ask_summarization=1"},{"index":5,"title":"Üç Değişkenli Karno Haritası","list":{"type":"unordered","items":["Üç değişkenli Karno haritası çizildikten sonra, minterm değerlerini karelerin sağ altlarına yazmak karışıklığı önler.","Karno haritasında maksimum gruplama yapmak için iki ve iki'nin kuvvetleri şeklinde gruplama yapılır.","Gruplanan bir sayısı arttıkça ifadede küçülür, iki tane bir gruplandığında iki tane inputlu ifade olur."]},"beginTime":823,"endTime":955,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=823&ask_summarization=1"},{"index":6,"title":"Minterm ve Sadeleştirme","list":{"type":"unordered","items":["Fonksiyonu sadeleştirmek için önce minterm şeklinde ifade etmek gerekir.","Minterm şeklinde ifade etmek için her bir ifadenin üç inputu da içermesi gerekir.","Karno haritası kullanılarak minterm ifadeleri gruplanarak sadeleştirme yapılır."]},"beginTime":955,"endTime":1128,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=955&ask_summarization=1"},{"index":7,"title":"Dört Değişkenli Karno Haritası","list":{"type":"unordered","items":["Dört değişkenli Karno haritası çizildiğinde, üst taraf üç değişkenlinin aynısıdır.","Dört değişkenli Karno haritasında inputların sırasına göre satırlar belirlenir.","Dört değişkenli Karno haritası kullanarak uzun fonksiyonlar kolayca sadeleştirilebilir."]},"beginTime":1128,"endTime":1390,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1128&ask_summarization=1"},{"index":8,"title":"Minterm İfadelerinin Sadeleştirilmesi","list":{"type":"unordered","items":["Dört değişkenli bir fonksiyon için her bir ifade dört tane input içermelidir.","Eksik olan minterm ifadeleri eklemek için d ve d' ile çarpma işlemi yapılır.","Sadeleştirilmiş fonksiyon, minterm değerleri küçükten büyüğe sıralanarak yazılır."]},"beginTime":1390,"endTime":1512,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1390&ask_summarization=1"},{"index":9,"title":"Minterm Gruplama ve Sadeleştirme","list":{"type":"unordered","items":["Minterm değerlerine (1, 2, 6, 8, 9, 10) key map çizilerek gruplama işlemi yapılabilir.","Komşu olan mintermler aynı anda gruplanabilir, örneğin iki bir minterm birlikte gruplanabilir.","Gruplanan mintermlerin ifade ettiği değerler yazılabilir, örneğin yeşil gruplanan kısım b' prime c' prime olarak ifade edilir."]},"beginTime":1518,"endTime":1696,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1518&ask_summarization=1"},{"index":10,"title":"Product of Sum Formunda Sadeleştirme","list":{"type":"unordered","items":["Sadeleştirme işlemi genellikle somo product formunda yapılır, ancak product of sum şeklinde de ifade edilebilir.","Bir fonksiyon somo minterm şeklinde ifade edildiyse, tersi de somo minterm şeklinde ifade edilir.","Key map çizilerek fonksiyonun sıfırları gruplanarak f'in tersi fonksiyonu bulunabilir, sonra komplement alınarak f fonksiyonu elde edilir."]},"beginTime":1696,"endTime":1937,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1696&ask_summarization=1"},{"index":11,"title":"Don't Care Condition'lar","list":{"type":"unordered","items":["Fonksiyonlarda don't care condition'lar (DCC) olabilir, bu bazı input kombinasyonları için belirlenmemiş outputları olan fonksiyonlardır.","DCC'ler \"don't care\" (umursamamak) anlamına gelir ve bu input değerleri için fonksiyonun verdiği output bizi ilgilendirmez.","Sadeleştirme işlemi yapılırken kesinlikle bir olan yerler ve DCC'ler dikkate alınır."]},"beginTime":1937,"endTime":2021,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=1937&ask_summarization=1"},{"index":12,"title":"Don't Care Condition'lar ve Fonksiyon Gruplama","list":{"type":"unordered","items":["Don't care condition'lar (örneğin 0, 1) fonksiyonlarda gruplama yaparken kullanılır ve bu değerlerin 1 veya 0 şeklinde belirlenmesi önemlidir.","Bir fonksiyon birden fazla şekilde ifade edilebilir, örneğin omega prime z + y-z veya x-prime omega prime + yz şeklinde.","Don't care condition'lara 1 veya 0 şeklinde değerler atarken, elde edilebilecek en fazla sadeleştirmeyi düşünmek gerekir."]},"beginTime":2030,"endTime":2163,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=2030&ask_summarization=1"},{"index":13,"title":"Universal Gate ve NAND Gate","list":{"type":"unordered","items":["Universal gate, herhangi bir fonksiyonu NAND gate ile ifade etmeyi sağlar ve gerçek hayatta NAND gate'lar daha kolay uygulanabilir.","Bir fonksiyonu NAND gate ile ifade etmek için o fonksiyonun Som of Product (SOP) formda olması gerekir.","NAND gate'lar, girişlerine not atılmış AND gate'lar olarak da düşünülebilir."]},"beginTime":2163,"endTime":2235,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=2163&ask_summarization=1"},{"index":14,"title":"NAND Gate ile Fonksiyon İfadesi","list":{"type":"unordered","items":["Fonksiyonları NAND gate ile ifade etmek için önce normal devre çizilir, sonra girişlere not atılır ve kompanse edecek notlar eklenir.","NAND gate ile ifade edilen fonksiyonlarda, girişlere not atılmış AND gate'lar ve çıkışlara not atılmış OR gate'lar bulunur.","NAND gate ile ifade edilen fonksiyonlarda, girişlere not atılmış AND gate'lar ve çıkışlara not atılmış OR gate'lar bulunur."]},"beginTime":2235,"endTime":2509,"href":"/video/preview/13460545016042903216?parent-reqid=1769484177896231-4372049211401808864-balancer-l7leveler-kubr-yp-vla-126-BAL&text=RobCarnag3&t=2235&ask_summarization=1"},{"index":15,"title":"NOR Gate ile Fonksiyon 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