Register to reply

Post-Karnaugh map simplification

by Bipolarity
Tags: postkarnaugh, simplification
Share this thread:
Bipolarity
#1
Feb8-13, 07:36 PM
P: 783
So I have to implement a 4 input 1 output circuit. I am given the Karnaugh map (obviously a 4by4) and have to build the circuit.

I have already determined the essential prime implicants for my map and three possible permutations of nonessential prime implicants.

So let's say I pick a permutation. I will obtain a boolean expression, but how could I simplify this expression? Most textbooks I have explain only how to draw the K-map itself and not how further simplification can be done after the boolean expression from the K-map has been generated. Is there an algorithm or procedure that allows one to further simplify the expression?

Also, are there heuristics in determining which set of nonessential prime implicants will produce simplified expressions using the fewest number of gates?

Also, are there heuristics in determining whether one should build using 0's logic or 1's logic?

Thanks for all the help.

BiP
Phys.Org News Partner Engineering news on Phys.org
Lawsuits challenge US drone, model aircraft rules
CU-Boulder leads international unmanned aircraft testing event at Pawnee Grassland
Gesture-controlled, autonomous vehicles may be valuable helpers in logistics and trans-shipment centers
NascentOxygen
#2
Feb9-13, 11:35 PM
HW Helper
Thanks
P: 5,266
Just guessing, but I would think that after simplifying the Karnaugh map, there would be little/no further simplification possible.


Register to reply

Related Discussions
Karnaugh Maps Math Learning Materials 54
Why do Karnaugh map work? Electrical Engineering 2
Karnaugh map Quantum Physics 1
Karnaugh maps? General Math 1
Karnaugh Map Equation Electrical Engineering 0