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Tuesday, 17 April 2018

Matei Wireshark

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Wireshark



1. Pengertian Wireshark

Wireshark merupakan salah satu tools atau aplikasi “Network Analyzer” atau Penganalisa Jaringan. Penganalisaan Kinerja Jaringan itu dapat melingkupi berbagai hal, mulai dari proses menangkap paket-paket data atau informasi yang berlalu-lalang dalam jaringan, sampai pada digunakan pula untuk sniffing (memperoleh informasi penting seperti password email, dll). Wireshark sendiri merupakan free tools untuk Network Analyzer yang ada saat ini. Dan tampilan dari wireshark ini sendiri terbilang sangat bersahabat dengan user karena menggunakan tampilan grafis atau GUI (Graphical User Interface).

2. Kegunaan Wireshark

Menganalisa jaringan. 
Menangkap paket data atau informasi yang berkeliaran da;am jaringan yang terlihat.  Penganalisaan informasi yang didapat dilakukan denga sniffing, dengan begitu dapat  diperoleh informasi penting seperti password, dll.  Membaca data secara langsung dari Ethernet, Token-Ring, FDDI, serial (PPP dan SLIP), 802.11 wireless LAN, dan koneksi ATM. Dapat mengetahui IP seseorang melalui typingan room.  Menganalisa transmisi paket data dalam jaringan, proses koneksi, dan transmisi data antar komputer. , dll..
























Cara Menjalankannya:
  1. Click pada “Interface List” utk mengaktifkannya, setelah itu terlihat dialog box Wireshark Capture Interfaces yang mendatangkan seluruh interface-nya
  2. Setelah pilih interface mana yg dapat dipantau atau di-capture, click saja Start. 3. Akan terlihat jalan raya jaringan computer beserta protokol dan informasi yang lain.
Cara yang lainnya:
  • Tetapkan Capture Interfaces utk mengaktifkannya,
  • Lantas terlihat dialog box Wireshark Capture Option yang mendatangkan semua interface-nya beserta pilihan-pilihan dalam ‘capture’
  • Kemudian bisa tetapkan interface mana yg dapat dipantau atau di-capture, click saja Start
  • Akan terlihat Jalan raya jaringan pc beserta protokol dan informasi yang lain
  • Sesudah tetapkan interface dan Start, sampai jaringan computer udah siap dipantau
Kemudian di capture yang akan menampilkan bentuk traffic yg warna-warni di mana ada informasi seperti berikut ini:
  • Time (menghadirkan pada saat paket itu tertangkap);
  • Source (menghadirkan IP Source dari paket itu);
  • Destination (menghadirkan IP Destination dari paket itu);
  • Protocol (menghadirkan protokol yg dipakai paket data itu);
  • Informasi (menghadirkan informasi dettail paket itu).
Serta ada juga informasi yang lain yang ada pada tampilan utama ketika Wireshark bekerja meng-capture paket data jaringan, seperti Menu, Display Filter, Daftar Paket, Rincian Paket, Rincian Heksa.
  • Menu: penampakan ini akan bernavigasi antar menu-menu yang sedia di Wireshark
  • Display filte: yaitu satu buah kolom, di mana kita akan mengisinya dengan sintak-sintaks untuk memfilter (membatasi) paket apa saja yang dapat ditampilkan pada daftar paket
  • Daftar paket yang berhasil ditangkap: mendatangkan paket-paket yang berhasil ditangkap Wireshark, berurutan sejak mulai dari paket pertama dan setelah itu.
  • Rincian paket diambil: menghadirkan detil paket yang diambil pada Daftar paket di atasnya.
  • Rincian paket dalam heksadesimal: rincian paket yg diambil akan ditampilkan berupa heksadesimal jadi memudahkan kita mendapatkan info

Cara Membobol Password Wifi dengan Wireshark

Buka program wireshark.
  • Pertama masuk pada Capture – Option atau menekan tombol Capture Interfaces
  • Selanjutnya akan terlihat tampilan window Capture Interfaces. Tentukan Option pada Ethernet yang terpakai/yang tersambung dengan jaringan dalam permasalahan ini, Option pada 802.11 b+g Wireless LAN
  • Tentukan interface (network card) yang akan digunakan untuk meng-capture packet
  • Tentukan satu di antara yang benar. Dalam permasalahan ini saya menggunakan USB Wifi sebagai sambungan ke internet jadi yang saya Tentukan yakni 802.11 b+g. Dan pastikan
  • Capture packet in promecious dalam status ON.
Untuk menyimpan record yang tercapture, bisa aktifkan kolom File, pada bagian Capture File (s).
  • Tentukan tombol Start untuk memulai merecord packet data yang masuk
  • Pertama-tama mungkin saja belum ada record yang masuk. Kembali ke halaman admin website (situs (blog)) uad, dan tekan lah tombol LOGIN nya. Jadi akan ada packet yang terecord
  • Click tombol stop (Alt+E) setelah anda merasa percaya bila ada password yang masuk selama anda menekan tombol start. Tentunya akan ada amat banyak packet data yang merecord. Dari sini kita mulai menganalisa packet itu. Karena yang kita butuhkan yakni men-sniffing password, jadi pada kolom Filter kita ketikkan http untuk lebih memudahkan pengelompokan packet data.
Biasanya login packet ada kata login atau semacamnya. Dalam permasalahan ini kita temukan packet dengan informasi POST/sahalpukon.blogspot.com …. Click kanan pada packet itu, Pilih Follow TCP Stream
Jadi akan terlihat informasi tentang packet data yang kita Tentukan. Di sini lah kita bisa dapatkan username dan password dari halaman administrator website (situs (blog)) uad. Pada umumnya ditandai dengan tulisan berwarna merah.
Apabila kita bisa menganalisa packet itu satu per satu jadi kita akan mengetahui data yang kita cari. Dalam permasalahan ini terlihat bila username=sahalpukon dengan password rahasia sudah kita dapatkan.
nah udah tahu kan apa itu wireshark, nihi bonusnya aku kasih link download Wireshark win32-1.12.7



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Thursday, 24 November 2016

Pengertian dan Fungsi Layer OSI beserta contoh Soalnya.

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Pengertian dan Fungsi Layer OSI beserta contoh Soalnya.

Masalah utama dalam komunikasi antar komputer dari vendor yang berbeda adalah karena mereka mengunakan protocol dan format data yang berbeda-beda. Untuk mengatasi ini, International Organization for Standardization (ISO) membuat suatu arsitektur komunikasi yang dikenal sebagai Open System Interconnection (OSI) model yang mendefinisikan standar untuk menghubungkan komputer-komputer dari vendor-vendor yang berbeda.

Model-OSI tersebut terbagi atas 7 layer, dan layer kedua juga memiliki sejumlah sub-layer (dibagi oleh Institute of Electrical and Electronic Engineers (IEEE)). Perhatikan tabel berikut:

7th – Layer : Application Services
6th – Layer : Presentation Services
5th – Layer : Session         Communications
4th – Layer : Transport         Communications
3rd – Layer : Network         Communications
2nd – Layer : Data-link         Physical connections
1st – Layer : Physical         Physical connections

layer-layer tersebut disusun sedemikian sehingga perubahan pada satu layer tidak membutuhkan perubahan pada layer lain. Layer teratas (5, 6 and 7) adalah lebih cerdas dibandingkan dengan layer yang lebih rendah; Layer Application dapat menangani protocol dan format data yang sama yang digunakan oleh layer lain, dan seterusnya. Jadi terdapat perbedaan yang besar antara layer Physical dan layer Application.

7 Model OSI LAYER
Tujuan utama penggunaan model OSI adalah untuk membantu desainer jaringan memahami fungsi dari tiap‐tiap layer yang berhubungan dengan aliran komunikasi data. Termasuk jenisjenis protoklol jaringan dan metode transmisi. Model dibagi menjadi 7 layer, dengan karakteristik dan fungsinya masing‐masing. Tiap layer harus dapat berkomunikasi dengan layer di atasnya maupun dibawahnya secara langsung melalui serentetan protokol dan standard.

Contoh Soal :

1. Layer yang menjadi  pusat dari mode-OSI dan juga Layer ini menyediakan transfer yang reliable dan transparan antara kedua titik akhir, layer ini juga menyediakan multiplexing, kendali aliran dan pemeriksaan error serta memperbaikinya, yang disebut layer diatas adalah … .
a.    Layer transport
b.    Layer Network
c.     Layer Data link
d.    Layer Sesi
2     2. Untuk memecah data ke dalam paket-paket data serta memberikan nomor urut ke paket-paket tersebut sehingga dapat disusun kembali pada sisi tujuan setelah diterima, diatas adalah fungsi dari … .
a.     Layer Network
b.    Layer Data link
c.     Layer transport
d.    Semuanya salah
3.3.     Dibawah ini yang tidak termasuk protocols dari Layer Transport adalah … .
a.     SPX
b.     NWLink
c.       NetBIOS
d.      Advanced Cable Tester
   4.     Dibawah Aaadalah beberapa peran penting dan fungsi dati transport layer antara lain kecuali … .
a.     Komunikasi end-to-end logic
b.     NetBIOS
c.      Segmenting
d.     Reassembling data

   5.     Apa yang dimaksud dengan Reassembling data
a.     Setiap host bisa saja memiliki lebih dari 1 aplikasi yang memanfaatkan network untuk proses komunikasi. Setiap aplikasi tersebut bisa saja berkomunikasi dengan satu atau lebih aplikasi pada host lain.
b.     enkapsulasi dengan header yang berisi informasi-informasi layer transport seperti, nomor urut (sequence) dan juga port address pengirim dan penerima.
c.      Pada sisi penerima, transport layer memanfaatkan informasi yang ada pada header layer transport untuk menyusun ulang segmen-segmen data menjadi data yang utuh sebelum diberikan ke layer atas (application).

d.     Semuanya salah 



Nah itu sedikit penjelasan tentan Layer OSI dan contoh soalnya, untuk soal Selengkapnya Silahkan Download Disini
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Monday, 14 November 2016

Sejarah Monitor dan Perkembangannya

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Sejarah Monitor dan Perkembangannya
Ilsutrasi          
Monitor komputer adalah salah satu jenis soft-copy device, karena keluarannya adalah berupa sinyal elektronik, dalam hal ini berupa gambar yang tampil di layar monitor. Gambar yang tampil adalah hasil pemrosesan data ataupun informasi masukan. Monitor memiliki berbagai ukuran layar seperti layaknya sebuah televisi. Tiap merek dan ukuran monitor memiliki tingkat resolusi yang berbeda. Resolusi inilah yang akan menentukan ketajaman gambar yang dapat ditampilkan pada layar monitor. Jenis-jenis monitor saat ini sudah sangat beragam, mulai dari bentuk yang besar dengan layar cembung, sampai dengan bentuk yang tipis dengan layar datar yang sering dugunakan saat ini. Tapi apakah kalian tahu sejraha monitor ini ?.
Penemu
Monitor hingga saat ini dikembangkan dengan dua fase. Fase pertama pada tahun 1855 ditandai dengan penemuan tabung sinar katoda oleh ilmuwan dari Jerman, Heinrich Geibler. Ia merupakan bapak dari monitor tabung. Lalu, 33 tahun kemudian, ahli kimia asal Austria, Friedrich Reinitzer, meletakkan dasar pengembangan teknologi LCD dengan menemukan kristal cairan. Teknologi tabung sejak awalnya memang dikembangkan untuk merealisasikan monitor. Namun, Kristal cairan masih menjadi fenomena kimiawi selama 80 tahun berikutnya. Saat itu, tampilan atau frame rate pun belum terpikirkan. Waktu itulah yang merupakan fase kedua dari tahap pengembangan monitor komputer. Selama ini, banyak yang menganggap bahwa Karl Ferdinand Braun sebagai penemu tabung sinar katoda. Sebenarnya, ia merupakan pembuat aplikasi pertama untuk tabung, yaitu osiloskop pada tahun 1897. Perangkat inilah yang menjadi basis pengembangan perangkat lain, seperti televisi. Pada tahun yang sama, Joseph John Thomson menemukan elektron, yang mempercepat pengembangan teknik tabung.
Fungsi Monitor
Monitor berfungsi sebagai Output dari memori komputer atau central processing unit berupa biner. Ini harus diubah menjadi bahasa manusia dan ditampilkan kemonitor sehingga bisa dibaca oleh pengguna.
Semua monitor memiliki jenis resolusi yang digunakan untuk menampilkan gambar. Ukuran inci LCD memberitahu apa jenis resolusi yang tersedia. Sebuah layar monitor 17-inci dapat memiliki resolusi 1024×768, sedangkan layar 20-inci akan memiliki 1600×1200. Jumlah dalam inci adalah ukuran layar monitor diagonal, sementara resolusi adalah lebar pixel dengan tinggi pixel. Meskipun laptop memiliki built-in monitor, beberapa laptop tersedia dengan port S-Video, yang memungkinkan kabel S-Video untuk plug ke televisi tertentu. Ketika televisi berubah ke input yang tepat, akan bertindak sebagai cloning.
Perkembangan Monitor Komputer Saat Ini

1.      Tabung sinar katode (CTR)

  Sinar katode adalah aliran elektron kecepatan tinggi yang dipancarkan dari katode yang dipanasi oleh elemen pemanas (heater) di dalam sebuah tabung vakum.
Dalam tabung sinar katode, elektron-elektron secara terarah, diarahkan menjadi pancaran elektron, dan pancaran elektron ini difokuskan dengan alat "defleksi yoke" oleh medan magnetik untuk diarahkan kearah posisi Horisontal dan Vertikal untuk men"scan" permukaan di ujung pandang (anode), yang sebaris dengan bahan berfosfor (biasanya berdasar atas logam transisi atau rare earth. Ketika elektron menyentuh material pada layar ini, maka elektron akan menyebabkan timbulnya cahaya. Untuk keperluan layar CRT ini supaya fosfor berpendar atau bercahaya diperlukan tegangan tinggi yaitu sekitar 25 Kilo Volt sampai 27 Kilo Volt dibangkitkan oleh alat yang bernama Flyback. 


Nah untuk lebih lengkapnya Download Sejarah Monitor dan Perkembangannya.doc 
Klik Disini




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Tuesday, 8 November 2016

Aljabar Boolean

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Aljabar Boolean
Dalam bab aljabar Boolean ini akan dibahas beberapa materi mengenai SOP, POS dan Peta Karnough. 

Definisi Aljabar Boolean adalah struktur aljabar yang "mencakup intisari" operasi logika AND, OR dan NOR dan juga teori himpunan untuk operasi union, interseksi dan komplemen. Boolean adalah suatu tipe data yang hanya mempunyai dua nilai. Yaitu true atau false (benar atau salah). Simbol yang digunakan pada aljabar Boolean itu sendiri adalah  (.) untuk AND, (+) untuk OR dan ( ) untuk NOR.
Hukum-hukum Aljabar Boolean
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


Bentuk Kanonik
·         Ada dua macam bentuk kanonik:
1.      Penjumlahan dari hasil kali (sum-of-product atau SOP)
2.      Perkalian dari hasil jumlah (product-of-sum atau POS)
   
                                       
Contoh: 1.  f(x, y, z) = x’y’z + xy’z’ + xyz  Ã  SOP
          Setiap suku (term) disebut minterm
     2.    g(x, y, z) = (x + y + z)(x + y’ + z)(x + y’ + z’)
         (x’ + y + z’)(x’ + y’ + z)  Ã  POS
Setiap suku (term) disebut maxterm
·         Setiap minterm/maxtermmengandung literal lengkap

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0jResgUqQIyrL2rXNN00RHxLtrXNM0ms85jqhmPR+/yHim9U6IixHeXU5BFTrg3TWSNqf1jBSsw64iCs6kK+t4bHTt4ogYX+4LP07+KLWv9citp18UNmNEWQf4H/g1ujCIrBB2UO3R8aAMlqHzOWzFiXEQ1CEl0/4u67KVkVjXesaElrF+MlkeONpc3nqirvq59cyfMJ/pBR9awnl0e3Q0nTmV2XG8/pzMSHWqPF+HhEw7bFpPGYnVZW37hWt+/3h3zUWV/cPWM59Cz5/jqVtmNtHs0aCGYUHnZN5dO2bbt5qTpXR9GsqUxL9JMRHvU0RibVmb7h0cElPk3mtXUxbFevRPuL4fGnxKSmYRij0ahhzUM5XNRRp0GPJuoIabb2xcRGJN6/GnjTFib/2Xcs+LKAtjPfqXmfvWuaZtf3sCrdijkdnMCcTpCK+eH+Z8HZIy7e2xtW0JiSvNKH3rXNt5LySOu8soC2M9odlkntfLriCMn5a47ljwdqVej0ZmM9cvfGvQnheH4XQd1mTaZMd6SkisO6ME16aCBWBUlcsoK7ee+AR7LfOMEKd7M7nLa3FDf/8KxSx4y0CtR7NPtyIfUuFMHbZkklBAYj3rCc1lMSVfVdlxx5+OXnyQn49ZrsFH4L7X49m75k1ZoDpc7jsTmVxN2b9qPf6O8+/94E8qqFlfEZg6lPkfDJh06kPrObNz/NM1XeL1WhEaAqQOpf75CyQdBGg9J/ff/10Ge3TEWB2MpSOB1gMKfoQ6GKuDsXQk0HpAwY9QB2N1MJaOBFoPKPgR6mCsDsbSkUDrAQU/Qh2M1cFYOhJoPaDgR6iDsToYS0cCrQcU/Ah1MFYHY+lIoPWAgh+hDsbqYCwdCbQeUPAj1MFYHYylI4HWAwp+hDoYq4OxdCTQekDBj1AHY3Uwlo4EWg8o+BHqYKwOxtKRQOsBBT9CHYzVwVg6Emg9oOBHqIOxOhhLRwKtBxT8CHUwVgdj6Uig9YCCH6EOxupgLB0JtB5Q8CPUwVgdjKUjgdYDCn6EOhirg7F0JNB6QMGPUAdjdTCWjgRaDyj4EepgrA7G0pFA6wEFP0IdjNXBWDoSaD2g4Eeog7E6GEtHAq0HFPwIdShVh1JPsxEOSFknKltP37pdATNDzBnq6JgVwY9QB1qPhOhZ6xnvaFHReqbnrcqtJ3eoI2NWBj9CHQrVoW8LH2UnB1SWtW+da5r4iervrnFN02g+5ziimvV8Jo2M51hnLZ3yhsofszr4EepQpA7vrtnujKNGsjvgGrqyjodE1y4sZny5L/AIeQm1r/WUsJ78oQ6PmaL3lHx38czRB0ofiapUhIcZj6Rg7fhZkLuqE+Nwqg57AqV3WRepjKAjutYzprWM+JNPv3QkZWg9x5k+KH26H8RxulFVe3Q0nTHOr+eMXTn35+xFqlPlmTrsCJRg03rKCDqiLmvbL7zz+8e7a66n7LhjmdGvaD3zKXT64zylz88smj0aLA3CdUKcwNyyKpyrw7ZAE/NB5xHvU0TQEW1Zm+4dHBlT/Imj5RLKDn/cerZvp6UkP4xij4ZhBgdXukE1J8eTdTh0v3PvWk8RQUc0rSdcsTbd218FJjz0Gsr+aevpW+eatl3/tBIn04o9GpnNHHS0VFe/H3umDrsCpfbY2rbc1ZFKM0rfOtd23gvxdHMJZccdy4x+OeuZz0fWG7HErUu9Ho3MZi5icgmuOzkerkOOQBE71lPuXrTujBJcoQq8JVkbcGWnHYWjx6fZa7Luhpg/VP6YG5+0dTbyYZxFRH2q1qPHTrcG7AbNFegoBQQd0bOe0FwWF9yvp6y/409HLz6IwpgzJVpe9y5sBtOt94vcBylJOQ+DSGfB1ZSl9axR5iv7iD1aA4A6lPwfDIB0UKD1FKZUn7JHR6rXoew/f1VPBwdaDyj4EepgrA7G0pFA6wEFP0IdjNXBWDoSaD2g4Eeog7E6GEtHAq0HFPwIdTBWB2PpSKD1gIIfoQ7G6mAsHQm0HlDwI9TBWB2MpSOB1gMKfoQ6GKuDsXQk0HpAwY9QB2N1MJaOBFoPKPgR6mCsDsbSkUDrAQU/Qh2M1cFYOhJoPaDgR6iDsToYS0cCrQcU/Ah1MFYHY+lIoPWAgh+hDsbqYCwdCbQeUPAj1MFYHYylI4HWAwp+hDoYq4OxdCTQekDBj1AHY3Uwlo4EWg8o+BHqYKwOxtKR8HPrIYSQJD+0HkIIKQuthxBSAVoPIaQCtB5CSAVoPYSQCtB6CCEVoPUQQipA6yGEVIDWQwipAK2HEFIBWg8hpAK0HkJIBWg9hJAK0HoIIRWg9RBCKkDrIYRUgNZDCKkArYcQUgFaDyGkArQeQkgFaD2EkArQegghFaD1EEIqQOshhFSA1kMIqQCthxBSAVoPIaQC/

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

Contoh  1. Nyatakan tabel kebenaran di bawah ini dalam bentuk kanonik SOP dan POS.


                   Tabel 1

data:image/png;base64,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

Penyelesaian:

(a)      SOP

Kombinasi nilai-nilai peubah yang menghasilkan nilai fungsi sama dengan 1 adalah 001, 100, dan 111, maka fungsi Booleannya dalam bentuk kanonik SOP adalah

f(x, y, z) =  x’y’z + xy’z’ + xyz
atau (dengan menggunakan lambang minterm),              
f(x, y, z) =  m1 + m4 + m7 = Ã¥ (1, 4, 7)


(b) POS     

Kombinasi nilai-nilai peubah yang menghasilkan nilai fungsi sama dengan 0 adalah 000, 010,  011, 101, dan 110, maka fungsi Booleannya dalam bentuk kanonik POS adalah
 f(x, y, z)  =  (x + y + z)(x + y’+ z)(x + y’+ z’)
   (x’+ y + z’)(x’+ y’+ z)
                       atau dalam bentuk lain,                 
f(x, y, z) =  M0 M2 M3 M5 M6 = Õ(0, 2, 3, 5, 6)           

Contoh 2. 
Nyatakan fungsi Boolean f(x, y, z) = x + y’z dalam bentuk kanonik SOP dan POS.
Penyelesaian:
      (a) SOP
      x  = x(y + y’)
          = xy + xy’
          = xy (z + z’) + xy’(z + z’)
          = xyz + xyz’ + xy’z + xy’z’
      y’z = y’z (x + x’)
            = xy’z + x’y’z
      Jadi  f(x, y, z)   = x + y’z
                                        = xyz + xyz’ + xy’z + xy’z’ + xy’z + x’y’z
                                        = x’y’z + xy’z’ + xy’z + xyz’ + xyz
      atau  f(x, y, z)   = m1 + m4 + m5 + m6 + m7 = S (1,4,5,6,7)


(b) POS

            f(x, y, z) = x + y’z
                          = (x + y’)(x + z)
            x + y’ = x + y’ + zz’


          = (x + y’ + z)(x + y’ + z’)
            x + z = x + z + yy’       
                    = (x + y + z)(x + y’ + z)
            Jadi, f(x, y, z) = (x + y’ + z)(x + y’ + z’)(x + y + z)(x + y’ + z)
                                = (x + y  + z)(x + y’ + z)(x + y’ + z’)
            atau f(x, y, z) = M0M2M3 = Õ(0, 2, 3)  
Konversi Antar Bentuk Kanonik

Misalkan

f(x, y, z)           = S (1, 4, 5, 6, 7)

dan f ’adalah fungsi komplemen dari f,

f ’(x, y, z) = S (0, 2, 3)  = m0+ m2 + m3

Dengan menggunakan hukum De Morgan, kita dapat memperoleh fungsi f dalam bentuk POS:

    f ’(x, y, z)  = (f ’(x, y, z))’ = (m0 + m2 + m3)’
                           = m0’ . m2’ . m3’
                     = (x’y’z’)’ (x’y z’)’ (x’y z)’
            = (x + y + z) (x + y’ + z) (x + y’ + z’)
            = M0 M2 M3
            = Õ (0,2,3)

Jadi,  f(x, y, z) = S (1, 4, 5, 6, 7) = Õ (0,2,3).
Kesimpulan: mj’ = Mj


Contoh 3.
  Nyatakan  f(x, y, z)= Õ (0, 2, 4, 5) dan g(w, x, y, z) = S(1, 2, 5, 6, 10, 15)  dalam bentuk SOP.

Penyelesaian:

            f(x, y, z)           = S (1, 3, 6, 7)            
        g(w, x, y, z)= Õ (0, 3, 4, 7, 8, 9, 11, 12, 13, 14)

Contoh 4.
Carilah bentuk kanonik SOP dan POS dari f(x, y, z) = y’ + xy + x’yz’
Penyelesaian:

(a) SOP
f(x, y, z) = y’ + xy + x’yz’
                         = y’ (x + x’) (z + z’) + xy (z + z’) + x’yz’
             = (xy’ + x’y’) (z + z’) + xyz + xyz’ + x’yz’
                         = xy’z + xy’z’ + x’y’z + x’y’z’ + xyz + xyz’ + x’yz’
atau f(x, y, z) = m0+ m1 + m2+ m4+ m5+ m6+ m7        
(b) POS
            f(x, y, z)  = M3 = x + y’ + z’    



BentukBaku        
             
•           Tidak harus mengandung literal yang lengkap.
•           Contohnya,  

 f(x, y, z) = y’ + xy + x’yz                                          (bentuk baku SOP)
  f(x, y, z) = x(y’ + z)(x’ + y + z’)                           (bentuk baku  POS)




Peta Karnaugh

a.  Peta Karnaugh dengan dua peubah

data:image/png;base64,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

b. Peta dengan tiga peubah
data:image/png;base64,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


Contoh. Diberikan tabel kebenaran, gambarkan Peta Karnaugh.
data:image/png;base64,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

data:image/png;base64,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


b. Peta dengan empat peubah
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

Contoh. Diberikan tabel kebenaran, gambarkan Peta Karnaugh.

data:image/png;base64,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
data:image/png;base64,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



Teknik Minimisasi Fungsi Boolean dengan PetaKarnaugh


1. Pasangan: dua buah 1 yang bertetangga
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Sebelum disederhanakan: f(w, x, y, z) = wxyz + wxyz’
Hasil Penyederhanaan:     f(w, x, y, z) = wxy
Bukti secara aljabar:

                        f(w, x, y, z) = wxyz + wxyz’
                                            = wxy(z + z’)
                                            = wxy(1)
                                            = wxy

2. Kuad: empat buah 1 yang bertetangga
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duH7wWe/MjPOXRz0ajNs4iOpyDL7z82ufQa6HmR3jKo5+NRm2cRXQ4U/hBKLwGnEV0OGsrPM96Vyz84KOfjUZtnEV0OAdfOMfhZ6Dh+LAMzlX8Bwp33648vA3bfrO0ncBVauMsIiqcgyt8kVZ9Hv51z5U+Dz/u0c9GozbOXwTvHFTh2zNe9s564Zy2Mwj8XKtKcC4RWeGXovHEY9GpjbMfKNxB4whFpzbOfqBwB40jFJ3aOPuBwh00jlB0auPsBwp30DhC0amNsx8o3EHjCEWnNs5+oHAHjSMUndo4+4HCHTSOUHRq4+wHCnfQOELRqY2zHyjcQeMIRac2zn6gcAeNIxSd2jj7gcIdNI5QdGrj7AcKd9A4QtGpjbMfKNxB4whFpzbOfqBwB40jFJ3aOPuBwh0SgOi4NIpG0gKAMKFwgHCZ7nHqv0DhAOFSSprCAaKCwgFihsIBYobCAWKGd9oA4BAUDhAzFA4QMxQOEDP/B4/


Sebelum disederhanakan: f(w, x, y, z) = wxy’z’ + wxy’z + wxyz + wxyz’
Hasil penyederhanaan:  f(w, x, y, z) = wx
Bukti secara aljabar:

                        f(w, x, y, z) = wxy’ + wxy
                                            = wx(z’ + z)
                                            = wx(1)
                                            = wx
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
  




Peta Karnaugh untuk lima peubah
data:image/png;base64,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



Contoh. 
  (Contoh penggunaan Peta 5 peubah) Carilah fungsi sederhana dari  f(v, w, x, y, z) = S (0, 2, 4, 6, 9, 11, 13, 15, 17, 21, 25, 27, 29, 31)
Jawab:

            Peta Karnaugh dari fungsi tersebut adalah:

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


Jadi  f(v, w, x, y, z)  =  wz + v’w’z’ + vy’z



KondisiDon’t care
Tabel
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


Contoh  Diberikan Tabel  Minimisasi fungsi f sesederhana mungkin.

       Tabel
data:image/png;base64,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

Jawab: Peta Karnaugh dari fungsi tersebut adalah:
 data:image/png;base64,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

Hasil penyederhanaan:  f(a, b, c, d) = bd + c’d’ + cd

Contoh.
Minimisasi fungsi Boolean berikut (hasil penyederhanaan dalam bentuk baku SOP dan bentuk baku POS):

 f(w, x, y, z) = S (1, 3, 7, 11, 15)

dengan kondisi don’t care adalah d(w, x, y, z) = S (0, 2, 5)

Penyelesaian:

Peta Karnaugh dari fungsi tersebut adalah:
data:image/png;base64,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

Hasil penyederhanaan dalam bentuk SOP

            f(w, x, y, z) = yz + w’z  (SOP)  (garis penuh)

dan bentuk baku POS adalah             

            f(w, x, y, z) = z (w’ + y)            (POS)  (garis putus2)
Sumber : http://sulistiawan03.blogspot.co.id/2012/10/aljabar-boolean_22.html
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