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Teknik Digital

Teknik Digital. Pertemuan III. Aritmatika Biner. Penjumlahan Biner Penjumlahan biner sama dengan penjumlahan pada bilangan desimal. Aturan dasar penjumlahan sistem bilangan biner: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0, simpan 1 Contoh: 25 + 27

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Teknik Digital

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  1. Teknik Digital Pertemuan III

  2. Aritmatika Biner • Penjumlahan Biner Penjumlahan biner sama dengan penjumlahan pada bilangan desimal. Aturan dasar penjumlahan sistem bilangan biner: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0, simpan 1 Contoh: 25 + 27 2510 => 1 1 0 0 12 2710 = > 1 1 0 1 12 1 1 0 1 0 02 => 52

  3. Aritmatika Biner • Pengurangan Penjumlahan biner sama dengan penjumlahan pada bilangan desimal. Aturan dasar penjumlahan sistem bilangan biner: 0 - 0 = 0 1 – 0 = 1 1 – 1 = 0 0 – 1 = 1, pinjam 1 Contoh : 1 1 0 0 1 01 1 0 0 0 1

  4. Gerbang Logika • Gebang AND • Gerbang OR • Gerbang NAND • Gerbang NOT • Gerbang NOR • Gerbang XOR

  5. Gerbang Logika Tabel Kebenaran gerbang AND Gerbang AND (AND gate) A X 0 = Low 1 = High B High Low Notasi Boole (Boole Notation) AND gate operation with timing diagram X = A. B

  6. Gerbang Logika (Logic Gate) Tabel Kebenaran gerbang AND Gerbang OR A X B timing diagram of OR gate operation Notasi boole gerbang OR X = A + B

  7. A X Gerbang Logika (Logic Gate) Gerbang NOT Tabel Kebenaran gerbang NOT Notasi boole gerbang NOT Pewaktuan Operasi gerbang NOT X = A

  8. A F B Gerbang Logika (Logic Gate) Gerbang NAND Tabel Kebenaran gerbang NAND Notasi boole gerbang OR Pewaktuan Operasi gerbang NAND 3 input X = A.B

  9. Gerbang Logika (Logic Gate) Gerbang NOR Tabel Kebenaran gerbang NOR A F B Notasi boole gerbang NOR Pewaktuan Operasi gerbang NOR 3 input X = A+B

  10. A F B Gerbang Logika (Logic Gate) Gerbang XOR Tabel Kebenaran gerbang NOR Notasi boole gerbang XOR Pewaktuan Operasi gerbang XOR X = AB

  11. A X B Gerbang Logika (Logic Gate) Gerbang XNOR Tabel Kebenaran gerbang XNOR Notasi boole gerbang XNOR Pewaktuan Operasi gerbang XNOR X = AB

  12. Gerbang Kombinasi Untuk Melakukan suatu fungsi tertentu di kombinasikan beberapa gerbang logika Dasar. Misalanya fungsi boole X = AB + AC dapat digambarkan sebagai berikut: Atau

  13. X Gerbang Kombinasi Gebang NOR dibentuk dari gerbang OR dan NOT A A + B B Gebang Nand dibentuk dari gerbang OR dan NOT A A X = A + B = A.B B B

  14. Aljabar Boole 1. Hukum Komulatif 2. Hukum Asosiasi

  15. Aljabar boole 3. Hukum Distributif

  16. Aljabar boole Aturan dari aljabar boole

  17. Assignment

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