Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > According to De Morgan’s theorem:1. the...
Start Learning for Free
According to De Morgan’s theorem:
1. the NOR gate is equivalent to a bubbled NAND gate.
2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.
3. the complement of the product of variables is equal to the sum of their individual complements.
4. the NAND gate is equivalent to a bubbled NOR gate.
5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.
Q. Which of the above statements about De Morgan’s theorem is/are not correct?
1. the NOR gate is equivalent to a bubbled NAND gate.
2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.
3. the complement of the product of variables is equal to the sum of their individual complements.
4. the NAND gate is equivalent to a bubbled NOR gate.
5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.
Q. Which of the above statements about De Morgan’s theorem is/are not correct?
- a)2,3 and 4
- b)1 and 5
- c)1,4 and 5
- d)1 and 4
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
According to De Morgan’s theorem:1. the NOR gate is equivalent t...
Hence, statement-1 is not correct
Hence, statement-2 is correct.
Hence, staement-3 is correct.
Hence, statement-4 is not correct.
Hence, statement 5 is correct.
Most Upvoted Answer
According to De Morgan’s theorem:1. the NOR gate is equivalent t...
Understanding De Morgan's Theorem
De Morgan's Theorem is a fundamental principle in Boolean algebra and digital logic design. It provides a method for transforming logical expressions involving AND and OR operations through negation.
Evaluation of Statements
1. NOR gate equivalent to a bubbled NAND gate
- This statement is incorrect. A NOR gate is not equivalent to a bubbled NAND gate. Instead, it is equivalent to a bubbled AND gate.
2. Removing individual variables from under NOT
- This statement is correct. It describes the principle of negating variables and transforming expressions.
3. Complement of the product of variables
- This statement is correct. According to De Morgan's theorem, the complement of a product is indeed the sum of the complements.
4. NAND gate equivalent to a bubbled NOR gate
- This statement is incorrect. A NAND gate is equivalent to a bubbled AND gate, not a bubbled NOR gate.
5. Transforming product-of-sum to sum-of-products
- This statement is correct. De Morgan's theorem allows for conversion between forms, but it does not imply direct equivalence.
Conclusion
The incorrect statements are 1 and 4. Thus, the correct answer is option 'D'. Statements 2, 3, and 5 accurately represent the principles of De Morgan's theorem. Understanding these distinctions is crucial in digital logic design and circuit simplification.
De Morgan's Theorem is a fundamental principle in Boolean algebra and digital logic design. It provides a method for transforming logical expressions involving AND and OR operations through negation.
Evaluation of Statements
1. NOR gate equivalent to a bubbled NAND gate
- This statement is incorrect. A NOR gate is not equivalent to a bubbled NAND gate. Instead, it is equivalent to a bubbled AND gate.
2. Removing individual variables from under NOT
- This statement is correct. It describes the principle of negating variables and transforming expressions.
3. Complement of the product of variables
- This statement is correct. According to De Morgan's theorem, the complement of a product is indeed the sum of the complements.
4. NAND gate equivalent to a bubbled NOR gate
- This statement is incorrect. A NAND gate is equivalent to a bubbled AND gate, not a bubbled NOR gate.
5. Transforming product-of-sum to sum-of-products
- This statement is correct. De Morgan's theorem allows for conversion between forms, but it does not imply direct equivalence.
Conclusion
The incorrect statements are 1 and 4. Thus, the correct answer is option 'D'. Statements 2, 3, and 5 accurately represent the principles of De Morgan's theorem. Understanding these distinctions is crucial in digital logic design and circuit simplification.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Top Courses for Electrical Engineering (EE)View all
According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer?
Question Description
According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer?.
According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer?.
Solutions for According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice According to De Morgan’s theorem:1. the NOR gate is equivalent to a bubbled NAND gate.2. individual variables can be removed form under a NOT sign, and a sum of product from can be transformed to a product-of- sums form.3. the complement of the product of variables is equal to the sum of their individual complements.4. the NAND gate is equivalent to a bubbled NOR gate.5. individual variables can be removed from under a NOT sign, and a product-of-sum form can be transformed to a sum-of-products form.Q. Which of the above statements about De Morgan’s theorem is/are not correct?a)2,3 and 4b)1 and 5c)1,4 and 5d)1 and 4Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup