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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![Question 5:
In K-Map, you might find some cells, where each cell represents a minterm, filed 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'
1
1
X
A'B
X
1
AB
AB'
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37c0efcd-6814-4ebb-a705-77be4ea670d6%2F465e4e9d-7090-4614-821a-ec4938cca272%2Fdagxta8_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5:
In K-Map, you might find some cells, where each cell represents a minterm, filed 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'
1
1
X
A'B
X
1
AB
AB'
1
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