Gerbang
Logika Dasar adalah blok dasar
untuk mem bentuk rangkaian Elektronika digital.Geerbang Logika dasar merupakan
rangkaian dengan satu atau lebih dari satu sinyal masukan tetapi hanya
menghasilkan satu sinyal berupa tegangan tinggi atau tegangan rendah.
Dikarenakan analisis gerbang logika dilakukan dengan Aljabar Boolean maka
gerbang logika sering juga disebut Rangkaian logika.
- Sebuah gerbang logika mempunyai satuterminal output Dansatuatau lebih termnal input
- Output-outputnya bisa bernilai HIGH (1) atau LOW (0) tergantungdarilevel-level digital padaterminal inputnya.
- Ada7 gerbanglogikadasar:AND,OR,NOT, NAND,NOR, Ex-OR, Ex-NOR
1. Gerbang And
Operasi And :
- Jika input A dan B keduanya HIGH,maka Outputnya akan HIGH
- Jika input A dan B salah satunya atau keduanya LOW, maka Outputnya akan LOW
Tabel
Kebenaran Gerbang And – 2 Input sebagai berikut :
Cara
Kerja Gerbang And
Gerbang
And dengan banyak input
2.Gerbang Or
Operasi Or :
- Jika input A dan B keduanya HIGH,maka Outputnya akan HIGH
- Jika Input A dan B keduanya LOW maka Outoutnya akan LOW
Cara
Kerja Gerbang Or
Gerbang
Or dengan banyak input
Operasi
Gerbang Not :
- Jika input A HIGH,maka Output akan LOW
- Jika inpu A LOW maka Outputnya akan HIGH
Tabel
Kebenaran Gerbang Not
4. Gerbang Nand
Operasi
Gerbang Nand :
- Merupakan inversi (kebalikan) ari operasi Gerbang And
- Jika input A dan B HIGH,maka Outputnya akan LOW
- Jika input A atau B atau keduanya LOW maka outputnya akan HIGH
Gerbang
Nand dengan banyak input
5.Gerbang
Nor![](data:image/png;base64,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)
Operasi
Gerbang Nor :
- Merupakan inversi (kebalikan) dari opeasi gerbang Or
- Jika input A dan B keduanya LOW,maka Outputnya akan HIGH
- Jika input A atau B salah satu atau keduanya HIGH maka Outputnya akan LOW
6. Gerbang Ex-Or
Operasi
Ex-Or :
- Ex-Or adalah kependekan dari Exclusive Or
- Jika salah satu dari kedua input HIGH (bukan keduanya),maka Outputnya akan HIGH
- Jika kedua inputnya bernilai LOW semua atau HIGH maka outputnya akan LOW
Tabel
Kebenaran Gerbang Ex-Or
Persamaan
Logika Ex-Or : X=A+B
BerdasarkanTabelKebenarandiatas(yang
bernilaioutput = 1), Ex-OR dapatdisusundarigerbangdasar: AND, OR
danNOTPersamaanEX-OR (dariAND, OR danNOT) :X = AB + AB
7.
Gerbang Ex-Nor
Operasi
Ex-Nor :
- Merupakan kebalika dari Gerbang Ex-Or
- Jika salah satu dari inputnya HIGH (bukan keduanya),maka Outputnyaakan LOW
- Jika kedua inputnya bernilai lOW Semua atau HIGH semua,maka nilainya akan HIGH .