Applied Physics CSIE II: UNIT II: Logic Gates

Karnaugh simplification

karnaugh map or K map

Let us consider a truth table converted into Karnaugh map.

KARNAUGH SIMPLIFICATION

We know that

(i) a pair eliminates one variable

(ii) a quad eliminates two variables

(iii) an octet eliminates three variables

Let us consider a truth table converted into Karnaugh map as shown in Fig. 2.25.


Step 1: Look for octates. There are none.

Step 2: Look for quads. There are two quads as shown in Fig. 2.26.

The quads are encircled in the Fig. 2.26.


The Boolean equation for two quads is


Step 3: Look for pair. There is one pair

The Boolean equation for the pair is


The Boolean equation for the map is given by



Applied Physics CSIE II: UNIT II: Logic Gates : Tag: Applied Physics : karnaugh map or K map - Karnaugh simplification


Applied Physics CSIE II: UNIT II: Logic Gates



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