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Assertion (A): The advantage of performing subtraction by the complement method is reduction in the hardware.
Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.
Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.
- 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 'A'. Can you explain this answer?
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Assertion (A): The advantage of performing subtraction by the compleme...
Both assertion and reason are correct and reason is the correct explanation of assertion because when subtraction is performed using complement method, then instead of subtracting one number from other, the complement of the subtrahend is added to the minued, Thus, subtraction is also performed by adders only as in case of addition. Due to this reason the hardware requirement is reduced while performing subtraction by complement method,
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Assertion (A): The advantage of performing subtraction by the compleme...
Assertion (A): The advantage of performing subtraction by the complement method is reduction in the hardware.
Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.
Explanation:
To understand the assertion and reason given in the question, let's first discuss the concept of subtraction by the complement method.
Subtraction by the complement method is a technique used in digital circuits to perform subtraction using addition. It involves taking the complement of the number to be subtracted and adding it to the original number. This method simplifies the hardware implementation of subtraction.
Advantage of performing subtraction by the complement method:
The main advantage of performing subtraction by the complement method is the reduction in hardware complexity. By using the complement method, we can use the same digital circuits for both addition and subtraction operations.
Explanation of the reason:
The reason stated in the question is correct. Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by the complement method. This is because subtraction can be performed using addition by taking the 2's complement of the number to be subtracted.
When implementing subtraction using the complement method, the number to be subtracted is first converted to its 2's complement form. Then, the 2's complement number is added to the original number using the same digital circuits used for addition. This eliminates the need for separate circuits for subtraction, resulting in a reduction in hardware.
Conclusion:
Both the assertion and reason are true, and the reason correctly explains the advantage of performing subtraction by the complement method. Therefore, the correct answer is option 'A' - Both A and R are true and R is the correct explanation of A.
Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.
Explanation:
To understand the assertion and reason given in the question, let's first discuss the concept of subtraction by the complement method.
Subtraction by the complement method is a technique used in digital circuits to perform subtraction using addition. It involves taking the complement of the number to be subtracted and adding it to the original number. This method simplifies the hardware implementation of subtraction.
Advantage of performing subtraction by the complement method:
The main advantage of performing subtraction by the complement method is the reduction in hardware complexity. By using the complement method, we can use the same digital circuits for both addition and subtraction operations.
Explanation of the reason:
The reason stated in the question is correct. Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by the complement method. This is because subtraction can be performed using addition by taking the 2's complement of the number to be subtracted.
When implementing subtraction using the complement method, the number to be subtracted is first converted to its 2's complement form. Then, the 2's complement number is added to the original number using the same digital circuits used for addition. This eliminates the need for separate circuits for subtraction, resulting in a reduction in hardware.
Conclusion:
Both the assertion and reason are true, and the reason correctly explains the advantage of performing subtraction by the complement method. Therefore, the correct answer is option 'A' - Both A and R are true and R is the correct explanation of A.
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Assertion (A): The advantage of performing subtraction by the complement method is reduction in the hardware.Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.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 'A'. Can you explain this answer?
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Assertion (A): The advantage of performing subtraction by the complement method is reduction in the hardware.Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.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 'A'. 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 advantage of performing subtraction by the complement method is reduction in the hardware.Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.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 'A'. 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 advantage of performing subtraction by the complement method is reduction in the hardware.Reason (R): Instead of having separate digital circuits for addition and subtraction, only adding circuits are needed for subtraction by complement method.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 'A'. Can you explain this answer?.
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