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Assertion (A): The use of K-maps is usually limited to six-variables.
Reason (R): A K-map can not be used for problems involving more than six variables.
Reason (R): A K-map can not be used for problems involving more than six variables.
- a)Both A and R are true and R is the correct explanation of A.
- b)Both A and R are true but R is not the correct explanation of A,
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assertion (A): The use of K-maps is usually limited to six-variables.R...
A K-map map can be used for problems involving any number of variables. But, for more than six variables it becomes tedious to solve the problem sign K-map. Hence, the use oi K-map is usually limited to six-variables. Thus, reason is a false statement.
Most Upvoted Answer
Assertion (A): The use of K-maps is usually limited to six-variables.R...
Assertion (A): The use of K-maps is usually limited to six-variables.
Reason (R): A K-map cannot be used for problems involving more than six variables.
Explanation:
Karnaugh maps, also known as K-maps, are a graphical tool used in digital logic design to simplify Boolean algebraic expressions. They provide a visual representation of truth tables and help in minimizing the number of logic gates required to implement a given Boolean function.
Assertion (A): The use of K-maps is usually limited to six-variables.
A K-map is typically used for problems with up to six variables. This limitation arises from the fact that the number of cells in a K-map increases exponentially with the number of variables. For example, a 2-variable K-map has 4 cells, a 3-variable K-map has 8 cells, and so on. As the number of variables increases, the K-map becomes larger and more complex to handle.
While it is possible to create K-maps with more than six variables, it becomes impractical due to the large number of cells required. The size of the K-map grows exponentially with each additional variable, making it difficult to visualize and manipulate.
Reason (R): A K-map cannot be used for problems involving more than six variables.
The reason why K-maps are not commonly used for problems involving more than six variables is that they become unwieldy and difficult to work with. The number of cells in a K-map with n variables is given by 2^n. For example, a 4-variable K-map has 16 cells, a 5-variable K-map has 32 cells, and a 6-variable K-map has 64 cells. As the number of variables increases, the size of the K-map grows exponentially.
Managing such a large number of cells becomes impractical and can lead to errors in analysis and simplification. Other methods, such as algebraic manipulation or computer-based algorithms, are often used for problems with a large number of variables.
Conclusion:
The assertion (A) is true. K-maps are usually limited to problems with up to six variables due to the exponential increase in size and complexity. The reason (R) is false because K-maps can technically be used for problems with more than six variables, but it becomes impractical and difficult to work with.
Reason (R): A K-map cannot be used for problems involving more than six variables.
Explanation:
Karnaugh maps, also known as K-maps, are a graphical tool used in digital logic design to simplify Boolean algebraic expressions. They provide a visual representation of truth tables and help in minimizing the number of logic gates required to implement a given Boolean function.
Assertion (A): The use of K-maps is usually limited to six-variables.
A K-map is typically used for problems with up to six variables. This limitation arises from the fact that the number of cells in a K-map increases exponentially with the number of variables. For example, a 2-variable K-map has 4 cells, a 3-variable K-map has 8 cells, and so on. As the number of variables increases, the K-map becomes larger and more complex to handle.
While it is possible to create K-maps with more than six variables, it becomes impractical due to the large number of cells required. The size of the K-map grows exponentially with each additional variable, making it difficult to visualize and manipulate.
Reason (R): A K-map cannot be used for problems involving more than six variables.
The reason why K-maps are not commonly used for problems involving more than six variables is that they become unwieldy and difficult to work with. The number of cells in a K-map with n variables is given by 2^n. For example, a 4-variable K-map has 16 cells, a 5-variable K-map has 32 cells, and a 6-variable K-map has 64 cells. As the number of variables increases, the size of the K-map grows exponentially.
Managing such a large number of cells becomes impractical and can lead to errors in analysis and simplification. Other methods, such as algebraic manipulation or computer-based algorithms, are often used for problems with a large number of variables.
Conclusion:
The assertion (A) is true. K-maps are usually limited to problems with up to six variables due to the exponential increase in size and complexity. The reason (R) is false because K-maps can technically be used for problems with more than six variables, but it becomes impractical and difficult to work with.
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Assertion (A): The use of K-maps is usually limited to six-variables.Reason (R): A K-map can not be used for problems involving more than six variables.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A,c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): The use of K-maps is usually limited to six-variables.Reason (R): A K-map can not be used for problems involving more than six variables.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A,c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The use of K-maps is usually limited to six-variables.Reason (R): A K-map can not be used for problems involving more than six variables.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A,c)A is true but R is false.d)A is false but R is true.Correct answer is option 'C'. Can you explain this answer?.
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