Penned By: FAISAL HAROON
COURSE: COMPUTER ORGANIZATION AND LOGIC DESIGN
ASSIGNMENT: LAB WORK
LOGIC GATES
LOGIC DIAGRAM FOR EXPRESSION X(X+Y)
Task#3: Construct the circuit for Associative & Absorption theorems and observe the Output.
1(a): Absorption law for OR-gate:
ABSORPTION LAW FOR OR-GATE CIRCUIT DIAGRAM
= X+ (X.Y)
= (X.1) + (X.Y) By X .1=X
WE KNOW THE FORMULA OF DISTRIBUTIVE LAW:
(X.Y) + (X.Z) = X. (Y+Z)
Applying distributive law on above expression:
=X. (1+Y)
=X. (1)
=X
The Output is X.
1(b): Absorption law for AND-gate:
COURSE: COMPUTER ORGANIZATION AND LOGIC DESIGN
ASSIGNMENT: LAB WORK
LOGIC GATES
LOGIC DIAGRAM FOR EXPRESSION X(X+Y)
Task#3: Construct the circuit for Associative & Absorption theorems and observe the Output.
1(a): Absorption law for OR-gate:
ABSORPTION LAW FOR OR-GATE CIRCUIT DIAGRAM
= X+ (X.Y)
= (X.1) + (X.Y) By X .1=X
WE KNOW THE FORMULA OF DISTRIBUTIVE LAW:
(X.Y) + (X.Z) = X. (Y+Z)
Applying distributive law on above expression:
=X. (1+Y)
=X. (1)
=X
The Output is X.
1(b): Absorption law for AND-gate:
