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In 2's complement addition, overflow
  • a)
    is flagged whenever there is carry from sign bit addition
  • b)
    cannot occur when a positive value is added to a negative value
  • c)
    is flagged when the carries from sign bit and previous bit match
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In 2's complement addition, overflowa)is flagged whenever there is...
is the answer. When a positive value and negative value are added overflow never happens. 
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In 2's complement addition, overflowa)is flagged whenever there is...

Explanation:

2's Complement Addition:
In 2's complement addition, numbers are represented in binary form, and addition is carried out by adding the binary values along with the carry from the previous bit.

Overflow in 2's Complement Addition:
Overflow in 2's complement addition occurs when the result of the addition exceeds the range that can be represented by the number of bits used. In other words, overflow happens when the sum of two numbers is too large or too small to be represented accurately within the given number of bits.

Why Overflow Cannot Occur when a Positive Value is Added to a Negative Value:
When a positive value is added to a negative value in 2's complement addition, the sum can never exceed the range of representable values. This is because the most significant bit (sign bit) in a negative number is always 1, and adding a positive value (with a sign bit of 0) to it will never result in a carry that propagates beyond the sign bit. Therefore, overflow cannot occur in this scenario.

Conclusion:
In 2's complement addition, overflow is not flagged when a positive value is added to a negative value because the addition of these values cannot result in a sum that exceeds the representable range. Overflow is flagged in cases where the carries from the sign bit and the previous bit match, indicating that the result is outside the representable range.
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In 2's complement addition, overflowa)is flagged whenever there is carry from sign bit additionb)cannot occur when a positive value is added to a negative valuec)is flagged when the carries from sign bit and previous bit matchd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
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