LOGIKA DAN GERBANG DIGITAL


1. Pengertian Logika Digital

https://images.openai.com/static-rsc-4/G4tnkmrF2TLesRwwWNBhAhQzRoQBXZQ4k8rXAOxtZLd5Rwaj3tPynCxEJP0V-kLjWr4crS-dXLWVU9lgGyRSy_lqG6tVcT_OvGuwniMmqP71KGIseZjqTzcLDbbLoLKybvebWDCLxWOnOCs58tzTX0eolDwjTRDjPCeky69yMOoPcIqepL4tWuH6tSOaVzT9?purpose=fullsize
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https://images.openai.com/static-rsc-4/ZyeFbDzPVUciyL_ZLUsPi-K7ck3IWveQg46xupQ1S6XGVVy3rCODVj85-UsmTCzmvZE8FNsJ0rons0NGqYJNz_quQtfWMtcXzPkNnx-PoeS17t40kMDEHPj4XedfE1bKm0WXryeYakFX3ei5Zm_JHpjxCb1e65W7bO7JJDkVX7KyAlrfYs3QnLJlMyagRlWr?purpose=fullsize

10

πŸ“– Deskripsi

Logika digital adalah sistem logika yang menggunakan nilai diskrit, yaitu 0 (false) dan 1 (true).

🧠 Narasi Penjelasan

Dalam komputer:

  • Semua data direpresentasikan dalam bentuk biner
  • Logika digital menjadi dasar kerja CPU dan perangkat elektronik
  • Digunakan untuk pengambilan keputusan otomatis

πŸ‘‰ Tanpa logika digital, komputer tidak bisa bekerja.


2. Sistem Bilangan Biner

https://images.openai.com/static-rsc-4/sd-kF5l_jv3TUMJerJjWG86i4Cxc6dOD768dgsXaY7-iAW_G8DmxPo2LAP5Q1DQW01hTHRl-h1vVv4q08JJznUYBddBEQKD29m8PBNiDmV71ECDgCsqihh0GADea0Y57Hawfyuz3lzCBZG_9H0wO_28PTbU_ubhZ1xGSgLARVh9no_mStvwYLKwpkV1o66pf?purpose=fullsize
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https://images.openai.com/static-rsc-4/4SZfwvlxErOH1_CaR-Rz40JP4w-sw1VgEKpWPcrNMCFLyUbZrhof_QtEvV2NLpdQ75qjWyPp8OWQeg8CfIRZ12RAiXPaiXxgPfhJHHYxgg1dFG1vQ6WWEQeRqinLVTgg0CkXlsGXu2C1bfSXJ0ABnHjlq7iaCEqiD6nveeZZA05ky2xji3pneTFaljAcDm5i?purpose=fullsize

6

πŸ“– Deskripsi

Sistem bilangan yang hanya menggunakan dua angka: 0 dan 1.

🧠 Narasi Penjelasan

Contoh:

  • 5 (desimal) = 101 (biner)

πŸ‘‰ Digunakan dalam semua sistem digital.


3. Gerbang Logika (Logic Gates)

https://images.openai.com/static-rsc-4/d7PFBtLB2E9r1yF41rtohIXJuwh0swvEYGSXZaB4ZP8L_dbSP55ALAEykhCSb9mvwbpY5NoS9Laqg4s0cup0bzfzU4lo1qfB2Zd5fxuL2nZp1oS9Tyns_h6qC6792e4lXZvXxtWkB7N0TwU1chzmM2f9tyOFfUafJwUqeoIMT7KmDGvUibbRJbkZT6-t9w53?purpose=fullsize
https://images.openai.com/static-rsc-4/3ht-oftMQEuuKmISSuJN1ExSxDoflJiPehdUu800AM7gTIUl4oehB5lZl4HDhrLKbptrdoijC-jllTdJMPXw5IjQ15EqrKup6-x8ucC7cZGYunFiC2ujD-GSQAHDP8Vuxrq-zuE5ptvu5lm8QFzzNcL3-Np5CO1i3OTMVBfiENEOP0ZEdqN-pZv-LwzysJPj?purpose=fullsize
https://images.openai.com/static-rsc-4/NRD5MagjXwQwuqR7m4yWnhtja4FY6N4Q6KpgCAGkbP8_SjWKZpjwKz6uvl18w_c-E_AGGdmzDOBVu9Np-x49mWR0r9Tn2srNxIP154tYylTZx84SwUXkpDX69Et2xUjpAn8TGHKsL-AdjBgTvOSz_cKU8WQwyxTYwD1jKd86smzbD5kCKY93A5mmLiW5L-q2?purpose=fullsize

6

πŸ“– Deskripsi

Gerbang logika adalah rangkaian elektronik yang melakukan operasi logika terhadap satu atau lebih input.

🧠 Narasi Penjelasan

Gerbang logika:

  • Menerima input biner
  • Menghasilkan output biner
  • Digunakan dalam rangkaian digital

4. Gerbang AND

https://images.openai.com/static-rsc-4/ylVbUsJ4ULzvhMqYI5NHZ7A0jqpyX-1j5QnDXydneuOA763Uc--yi0N0jSCezoYpPcaIw5DE-byDbP8QrVKTJeBNe_7eN4nvlwL8UYE8ANhuzS32HcuhrbEh78M6NwMFWOVITPfGlxFsEIZKhMes_iIB5DEzDvTFHziQrThlBZM9fB5EZHgSoPbA8nbhrm2w?purpose=fullsize
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6

πŸ“– Deskripsi

Output bernilai 1 jika semua input bernilai 1.

🧠 Narasi Penjelasan

πŸ“Š Tabel:

ABA AND B
000
010
100
111

πŸ‘‰ Digunakan untuk kondisi β€œharus semua benar”.


5. Gerbang OR

https://images.openai.com/static-rsc-4/e3RmopuZ2cCs37WQo9IEaDTMUJPac_n2FbVPKSYVzecJJ5eI0uam3yePKJ_PptYtTVqqi2COS7wVqajlY1FG_8YEOMkYQo38kx94b3-mSDWM8ddBBAgrXcX4SCEIqLZLVRS6bhoQNgulYp5swpMLqlhqqLge6wsQ6BPPJOMkP6TjcGfuv2tv-iEKFMnY9v_n?purpose=fullsize
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6

πŸ“– Deskripsi

Output bernilai 1 jika salah satu input bernilai 1.

🧠 Narasi Penjelasan

πŸ“Š Tabel:

ABA OR B
000
011
101
111

6. Gerbang NOT

https://images.openai.com/static-rsc-4/aNbw9PPiINkUflqYSoxL2xDIPR2Y6702HFHPD8yntHZyql8Dflge3EfuYEud7rfzGxuN6VxgQvTHa2ZPbmDsL_7WeEVgT43n4-EWXX2yeVQvMq7_fHpxIOvoK9DcFLg0pzflAJi8X2OgDl5H2btEOghdJJtt3oEnS99bSqgGjP3y_9fZsSYq4C8q2oZxOYui?purpose=fullsize
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5

πŸ“– Deskripsi

Membalik nilai input.

🧠 Narasi Penjelasan

ANOT A
01
10

7. Gerbang NAND

https://images.openai.com/static-rsc-4/iamFdOdoT-_hTeerTTvpzoDBddnfb10TYR4jAVjX19oNg9l3JLgF6_vEfnKXO47gO0b7-mB_2fLAvI8QC91p6fQ79DkzXldOvkhk2cMIHXOwmv7c6QM3QjxEd8klzAXyNZqsdQf4nQIW06-vuw37elF13D-yQyLLfWjgjS7pwFlpEJQD_xIkGD-PsMeGHu7f?purpose=fullsize
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6

πŸ“– Deskripsi

Kebalikan dari AND.

🧠 Narasi Penjelasan

  • Output 0 hanya jika semua input 1
    πŸ‘‰ Disebut universal gate

8. Gerbang NOR

https://images.openai.com/static-rsc-4/aNbw9PPiINkUflqYSoxL2xDIPR2Y6702HFHPD8yntHZyql8Dflge3EfuYEud7rfzGxuN6VxgQvTHa2ZPbmDsL_7WeEVgT43n4-EWXX2yeVQvMq7_fHpxIOvoK9DcFLg0pzflAJi8X2OgDl5H2btEOghdJJtt3oEnS99bSqgGjP3y_9fZsSYq4C8q2oZxOYui?purpose=fullsize
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7

πŸ“– Deskripsi

Kebalikan dari OR.

🧠 Narasi Penjelasan

  • Output 1 hanya jika semua input 0

9. Gerbang XOR

https://images.openai.com/static-rsc-4/p78F6Tj-NWVk95Mx5MsQLj3KPrNuMJQ9qCckV1vur1EU3Q1kVBc-PLN7y2ZBb0b4CHgr-UcTJ6BgsTxBojNQfC6RZ2CgclNFVisgp0N4JtJ8vuKFEpmBAfM94da1_artye83IyfqpdNtayFIvnn3ATSW7ZINmbedTzCKpBosEBRHRkbfHywqr-HWkGBJeeDk?purpose=fullsize
https://images.openai.com/static-rsc-4/WT17jfd-PHW6A0qQuByXL4IynRVLtf27OAM0Nerrr0aZeiO0ns3fQRNe4Uh7vVuXiLe7j9GeQIdIwBCxMV0ZMRhGRFyyMHPptzt_S-OwZBjfo4Cb-pYjkH_chw9AhIVC45kZ5AvgSgFOMxVmRS-33tcBVWvFwlbQIc-mdnydb7ZiqWTrPaItB8_hO5nWvXVT?purpose=fullsize
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7

πŸ“– Deskripsi

Output 1 jika input berbeda.

🧠 Narasi Penjelasan

ABXOR
000
011
101
110

10. Gerbang XNOR

https://images.openai.com/static-rsc-4/XtSRNsgT1O1aBzwml3BgRejvneGBM9ln9_jfVGE7EKe5Vs-Rk15258s41Z_Z-RAX-vYvkOPWxWM1ADHoW3xZRgXxqcPwLUcLvnEUwvd3MPTaGlCWwjuuJguNoLkoIdw7BQbtIjNQXDZSHHVuyajkf0YSD1a43t8vxQkksFlPHZY-CjR7oN6mqISmmgSjvutt?purpose=fullsize
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6

πŸ“– Deskripsi

Kebalikan dari XOR.

🧠 Narasi Penjelasan

  • Output 1 jika input sama

11. Rangkaian Kombinasi

https://images.openai.com/static-rsc-4/QtJjxrrsB5XvdUC-2yuPd-ZXeLENhs4kP2TSC-tA8CAJv4CH9cOyjWyz2QiNbKR3V1fQzgdGgXxUWXMl0QlWUScUDlF1bm0GS8Vao9YZFi58I4Lpw-QW5DeYuuGle8NFw0C-nsBVleCtt6GHfWvfPAJGWkScWgt__lOYkVEmjLs9mSBDEfi3MkyIpsJRVSYY?purpose=fullsize
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8

πŸ“– Deskripsi

Gabungan beberapa gerbang logika.

🧠 Narasi Penjelasan

  • Digunakan untuk sistem kompleks
  • Contoh: kalkulator digital

12. Aplikasi Gerbang Logika

https://images.openai.com/static-rsc-4/LgEtYs-72QsWOSjR-jF0_IAx6De3S_7b0MGQZXLDByc2mWUKed-1UPmjgEPcHh2gl5KB9xxi8AOOPhG6pxUXOgsc5-0fmFs1bxLfOUyb4GtsRS4fmlZibx7NnL2mS8HpR-pLlpAgmwIoVijvNpsh5DinXNGqBeITOWjYaAOcuxI8KfGmrQYwfYvHxCaI8wVi?purpose=fullsize
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8

πŸ“– Deskripsi

Digunakan dalam berbagai perangkat.

🧠 Narasi Penjelasan

  • CPU
  • Memori
  • Sistem kontrol

13. Tabel Perbandingan Gerbang

πŸ“Š Tabel:

GerbangFungsi
ANDSemua benar
ORSalah satu benar
NOTMembalik
NANDAND terbalik
NOROR terbalik
XORBerbeda
XNORSama

14. Manfaat Mempelajari Logika Digital

πŸ“– Deskripsi

Penting dalam informatika.

🧠 Narasi Penjelasan

  • Dasar hardware
  • Desain sistem digital
  • Pemahaman komputer

15. Ringkasan Materi

πŸ“– Deskripsi

Inti pembelajaran.

🧠 Narasi Penjelasan

  • Logika digital berbasis biner
  • Gerbang logika adalah dasar rangkaian
  • Digunakan dalam semua perangkat komputer

16. Kesimpulan

  • Logika digital adalah fondasi komputer
  • Gerbang logika membentuk sistem kompleks
  • Penting untuk mahasiswa informatika

🎯 Latihan / Diskusi

  1. Apa perbedaan AND dan OR?
  2. Jelaskan fungsi XOR!
  3. Apa itu gerbang universal?

πŸ“ Tugas

  • Buat tabel kebenaran:
    • AND
    • OR
    • XOR
  • Gambar rangkaian sederhana