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If the two numbers include a sign bit in the highest order position, the bit conditions of interest are the sign of the result, a zero indication and __________
- a)An underflow condition
- b)A neutral condition
- c)An overflow condition
- d)One indication
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If the two numbers include a sign bit in the highest order position, t...
Explanation:
Sign Bit:
- In binary numbers, the sign bit is the highest order bit that indicates whether the number is positive or negative.
- For example, in an 8-bit number, if the sign bit is 1, the number is negative, and if it is 0, the number is positive.
Conditions of Interest:
- When performing arithmetic operations on numbers with sign bits, the conditions of interest include:
1. Sign of the result: Determines whether the result is positive or negative.
2. Zero indication: Indicates whether the result is zero.
3. Overflow condition: Occurs when the result is too large to be represented within the given number of bits.
4. Underflow condition: Occurs when the result is too small to be represented within the given number of bits.
Explanation of Option 'C' (Overflow Condition):
- An overflow condition happens when the result of an arithmetic operation is too large to be represented by the number of bits available.
- In the context of numbers with sign bits, an overflow can occur when the result exceeds the range that can be represented by the available bits.
- This is a crucial condition to consider when dealing with signed numbers to ensure accurate results and prevent errors in calculations.
Conclusion:
- Understanding the sign bit and the conditions of interest when working with signed numbers is essential for accurate arithmetic operations and preventing overflow conditions that can lead to incorrect results.
Sign Bit:
- In binary numbers, the sign bit is the highest order bit that indicates whether the number is positive or negative.
- For example, in an 8-bit number, if the sign bit is 1, the number is negative, and if it is 0, the number is positive.
Conditions of Interest:
- When performing arithmetic operations on numbers with sign bits, the conditions of interest include:
1. Sign of the result: Determines whether the result is positive or negative.
2. Zero indication: Indicates whether the result is zero.
3. Overflow condition: Occurs when the result is too large to be represented within the given number of bits.
4. Underflow condition: Occurs when the result is too small to be represented within the given number of bits.
Explanation of Option 'C' (Overflow Condition):
- An overflow condition happens when the result of an arithmetic operation is too large to be represented by the number of bits available.
- In the context of numbers with sign bits, an overflow can occur when the result exceeds the range that can be represented by the available bits.
- This is a crucial condition to consider when dealing with signed numbers to ensure accurate results and prevent errors in calculations.
Conclusion:
- Understanding the sign bit and the conditions of interest when working with signed numbers is essential for accurate arithmetic operations and preventing overflow conditions that can lead to incorrect results.
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If the two numbers include a sign bit in the highest order position, t...
If the two numbers include a sign bit in the highest order position, the bit conditions of interest are the sign of the result, a zero indication and an overflow condition.
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If the two numbers include a sign bit in the highest order position, the bit conditions of interest are the sign of the result, a zero indication and __________a)An underflow conditionb)A neutral conditionc)An overflow conditiond)One indicationCorrect answer is option 'C'. Can you explain this answer?
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