REALISATION OF SOP & POS FUNCTIONS AFTER K-MAP REDUCTION.

 

AIM:

Realize the given expression using sum of product (SOP) & product of sum (POS) functions from K-map reduction

 

COMPONENTS AND EQUIPMENTS REQUIRED:

Sl. No	NAME OF THE COMPONENT	IC NUMBER	QUANTITY
1 2 3 4	AND gate OR gate Connecting wires Trainer Kit	7408 7432	1 1

 

THEORY:

1.      SOP Form

F(A,B,C,D) = ∑(5,7,9,11,13,15)

Simplification of SOP using K-Map

 

F = BD+AD

Realisation using basic gates

Truth Table

1.      POS form

F(A,B,C,D) =∏(0,1,2,3,4,6,8,10,12,14)

Simplification of POS using K-Map

 

F= (A+B).D

Realisation using basic gates

Truth Table

PROCEDURE

1)Test all the IC packages using digital IC tester.

2)Setup the circuit one by one and verify their truth table.

3)Observe the output corresponding to input combinations and enter it in truth table.

 

RESULT