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rangakaian logika digital

K-MAP  METHOD 

KARNAUGH  MAP  METHOD 

Karnaugh map (K map) merupakan tool grafis yang digunakan untuk menyederhanakan persamaam logika atau untuk melakukan konversi sebuah table kebenaran menjadi rangkaian logika yang lebih sederhana.

PETA KARNAUGH 2 VARIABEL

PETA KARNAUGH 3 VARIABEL

K-map

Detail

PETA KARNAUGH 4 VARIABEL

Looping

Looping

Persamaan output X dapat disederhanakan dengan cara membuat kotak pada Kmap

Prosedure

Prosedur Penyederhanaan

Step 1

Step 2

Step 3

Construct the K map and place 1s in those squares corresponding to the 1s in the truth table. Place 0s in the other squares.

Examine the map for adjacent 1s and loop thoase 1s that are not adjacent to any other 1s. These are called isolated 1s.

Next, look for those 1s that are adjacent to only one other 1. Loop any pair containing such a 1.

Loop any octet even if it contains some 1s that have already been looped.

Loop any quad that contains one or more 1s that have not already been looped, making sure to use the minimum number of loops.

Loop any pairs necessary to include any 1s that have not yet been looped, making sure to use the minimum number of loops.

Form the OR sum of all the terms generated by each loop.

Step 4

Step 5

Step 6

Step 7

Example

Example

Example

example

Fungsi Awal:

F=ABC+A'BC+AB'C

A'BC

AB'C

ABC

Gunakan metode looping 2

f1= A'BC+ABC = BC

f2= ABC+AB'C = AC

sehingga, F=BC+AC

Tugas

Batas Pengumpulan: Sabtu, 8 Agustus 2020

Assignment

Buatlah rangkaian sederhana dengan menggunakan minimal 5 gerbang.

Buat tabel kebenarannya.

Sederhanakan rangkaian tersebut menggunakan K-Map

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