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Which of the following statements is/are true?
- a)Parallelism is high in horizontal microprogrammed control unit as compared to vertical microprogrammed control unit.
- b)Hardwired control unit is slower compared to microprogrammed control unit.
- c)In 2’s complement sum carry flag and overflow are the same.
- d)In 2’s complement sum if the sum of two negative numbers yields a positive result, the sum has overflowed.
Correct answer is option 'A,D'. Can you explain this answer?
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Which of the following statements is/are true?a)Parallelism is high in...
Concept:
Option 1: Parallelism is high in the horizontal microprogrammed control unit as compared to a vertical microprogrammed control unit.
True, Parallelism is high in horizontal microprogramming as several operations on different registers can be performed simultaneously.
Option 2: Hardwired control unit is slower compared to the microprogrammed control unit.
False, a Hardwired control unit is faster as compared to the microprogrammed control unit as there won’t be a delay of fetch, decoding, and executing the control instructions in the case of the hardwired control unit.
Option 3: In 2’s complement sum carry flag and overflow are the same.
False, In unsigned numbers, carry out is equivalent to overflow. But in two's complement, carry out tells you nothing about overflow.
Option 4: In 2’s complement sum if the sum of two negative numbers yields a positive result, the sum has overflowed.
True, the Following are the rules for detecting overflow in a two's complement sum:
- If the sum of two positive numbers yields a negative result, the sum has overflowed.
- If the sum of two negative numbers yields a positive result, the sum has overflowed.
Otherwise, the sum has not overflowed.
Hence the correct answer is A and option B.
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Which of the following statements is/are true?a)Parallelism is high in...
Explanation of the Statements
The statements provided pertain to computer architecture and binary arithmetic. Let's analyze each statement to understand their validity.
Statement A: Parallelism in Control Units
- True:
- In a horizontal microprogrammed control unit, multiple control signals can be generated simultaneously, allowing for higher parallelism.
- Conversely, vertical microprogrammed control units use fewer bits to represent control signals, leading to more sequential operations and less parallelism.
Statement B: Speed of Control Units
- False:
- Hardwired control units are generally faster than microprogrammed control units.
- This is because hardwired control units use fixed logic circuits, resulting in quicker response times compared to the more flexible but slower microprogrammed approach.
Statement C: Carry Flag and Overflow in 2's Complement
- False:
- In 2's complement arithmetic, the carry flag and overflow flag are not the same.
- The carry flag indicates a carry out of the most significant bit, while the overflow flag indicates that the result of an operation has exceeded the representational capacity of the number format.
Statement D: Overflow in 2's Complement Arithmetic
- True:
- In 2's complement notation, if the sum of two negative numbers results in a positive number, it indicates an overflow.
- This occurs because the representation cannot accommodate the resulting value, leading to an incorrect sign.
Conclusion
The correct answers are indeed options A and D, as they accurately describe the characteristics of parallelism in control units and the behavior of overflow in 2's complement arithmetic.
The statements provided pertain to computer architecture and binary arithmetic. Let's analyze each statement to understand their validity.
Statement A: Parallelism in Control Units
- True:
- In a horizontal microprogrammed control unit, multiple control signals can be generated simultaneously, allowing for higher parallelism.
- Conversely, vertical microprogrammed control units use fewer bits to represent control signals, leading to more sequential operations and less parallelism.
Statement B: Speed of Control Units
- False:
- Hardwired control units are generally faster than microprogrammed control units.
- This is because hardwired control units use fixed logic circuits, resulting in quicker response times compared to the more flexible but slower microprogrammed approach.
Statement C: Carry Flag and Overflow in 2's Complement
- False:
- In 2's complement arithmetic, the carry flag and overflow flag are not the same.
- The carry flag indicates a carry out of the most significant bit, while the overflow flag indicates that the result of an operation has exceeded the representational capacity of the number format.
Statement D: Overflow in 2's Complement Arithmetic
- True:
- In 2's complement notation, if the sum of two negative numbers results in a positive number, it indicates an overflow.
- This occurs because the representation cannot accommodate the resulting value, leading to an incorrect sign.
Conclusion
The correct answers are indeed options A and D, as they accurately describe the characteristics of parallelism in control units and the behavior of overflow in 2's complement arithmetic.
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