In K-Map, you might find some cells, where each cell represents a minterm, filled with the letter X. This X is called "Don't care". When forming groups of cells, don't care conditions (X) are considered as 1, if this allows us to form a larger group than would otherwise be possible without the don't cares. There is no requirement to group all or any of the don't cares. Rule: Only use the Don't cares in a group if this simplifies the logic. Based on the above note, and applying the same K-Map rules, you are asked to answer the below questions for the below 4-variable K-Map: a- Encircle the groups that should be considered, using a minimum number of X's where necessary to obtain the optimal solution. N.B: Your solution is considered optimal, if you have involved the minimum number of minterms to simplify the function using K-map with the don't cares. b- Write the simplified equation of the function F. c- Find the complement (F') of the simplified F. Apply De Morgan's law and show the steps. You can keep it in the POS form. d- Draw the logic diagram of the simplified F using only NAND gates.. F C'D' C'D CD CD' A'B' X 1 1 X A'B X 1 AB AB' 1
In K-Map, you might find some cells, where each cell represents a minterm, filled with the letter X. This X is called "Don't care". When forming groups of cells, don't care conditions (X) are considered as 1, if this allows us to form a larger group than would otherwise be possible without the don't cares. There is no requirement to group all or any of the don't cares. Rule: Only use the Don't cares in a group if this simplifies the logic. Based on the above note, and applying the same K-Map rules, you are asked to answer the below questions for the below 4-variable K-Map: a- Encircle the groups that should be considered, using a minimum number of X's where necessary to obtain the optimal solution. N.B: Your solution is considered optimal, if you have involved the minimum number of minterms to simplify the function using K-map with the don't cares. b- Write the simplified equation of the function F. c- Find the complement (F') of the simplified F. Apply De Morgan's law and show the steps. You can keep it in the POS form. d- Draw the logic diagram of the simplified F using only NAND gates.. F C'D' C'D CD CD' A'B' X 1 1 X A'B X 1 AB AB' 1
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter33: Single-phase Motors
Section: Chapter Questions
Problem 1PA
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