Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Assertion (A): The 2’s complement syste...
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Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).
Reason (R): The complement of the complement gives the original number
Reason (R): The complement of the complement gives the original number
- 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 'D'. Can you explain this answer?
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Assertion (A): The 2’s complement system has two zeros, a positi...
The 1’s complement system has a disadvantage of having two zero representation i.e. a positive 0 (all 0s) and a negative 0 (all 1s). But, the 2's complement system has a unique zero.
Hence, assertion is not a correct statement.
Hence, assertion is not a correct statement.
Most Upvoted Answer
Assertion (A): The 2’s complement system has two zeros, a positi...
Understanding the Assertion (A)
The assertion states that the 2’s complement system has two zeros: a positive zero (represented by all bits as 0) and a negative zero (represented by all bits as 1).
- In 2’s complement representation, there is only one representation for zero, which is all bits as 0.
- The representation of all bits as 1 corresponds to -1 in the 2’s complement system, not a negative zero.
Thus, Assertion (A) is false.
Understanding the Reason (R)
The reason states that the complement of the complement gives the original number.
- This statement is true; in the 2’s complement system, if you take the complement (invert the bits) of a number and then take the complement again, you obtain the original number.
- For example, if you have a binary number, flipping the bits twice returns you to the original number.
Thus, Reason (R) is true.
Conclusion
- Since Assertion (A) is false and Reason (R) is true, the correct answer is option 'D': A is false but R is true.
- Understanding these concepts is crucial for working with binary systems, particularly in computer engineering and digital electronics.
The assertion states that the 2’s complement system has two zeros: a positive zero (represented by all bits as 0) and a negative zero (represented by all bits as 1).
- In 2’s complement representation, there is only one representation for zero, which is all bits as 0.
- The representation of all bits as 1 corresponds to -1 in the 2’s complement system, not a negative zero.
Thus, Assertion (A) is false.
Understanding the Reason (R)
The reason states that the complement of the complement gives the original number.
- This statement is true; in the 2’s complement system, if you take the complement (invert the bits) of a number and then take the complement again, you obtain the original number.
- For example, if you have a binary number, flipping the bits twice returns you to the original number.
Thus, Reason (R) is true.
Conclusion
- Since Assertion (A) is false and Reason (R) is true, the correct answer is option 'D': A is false but R is true.
- Understanding these concepts is crucial for working with binary systems, particularly in computer engineering and digital electronics.
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Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 'D'. Can you explain this answer?
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Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 '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 Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 '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 Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 'D'. Can you explain this answer?.
Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 '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 Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 '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 Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 'D'. Can you explain this answer?.
Solutions for Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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ample number of questions to practice Assertion (A): The 2’s complement system has two zeros, a positive 0 (all 0s) and a negative 0 (all 1’s).Reason (R): The complement of the complement gives the original numbera)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 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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