Knowee
Questions
Features
Study Tools

Overflow occurs if what bits are required to contain the result from an N-bit addition or subtraction

Question

Overflow occurs if what bits are required to contain the result from an N-bit addition or subtraction

🧐 Not the exact question you are looking for?Go ask a question

Solution

Overflow occurs when more than N bits are required to contain the result from an N-bit addition or subtraction.

Here are the steps to understand this:

  1. Consider two N-bit numbers. The maximum value they can represent is when all bits are 1.

  2. If you add these two numbers, the result can be a number that requires N+1 bits to represent. This is because the sum of the two maximum N-bit numbers is a number that is larger than the maximum N-bit number.

  3. Similarly, if you subtract the smallest possible N-bit number (which is zero if we're considering unsigned numbers) from the largest possible N-bit number, the result is still an N-bit number.

  4. However, if we're considering signed numbers and you subtract the smallest possible N-bit number from the largest possible N-bit number, the result can be a number that requires N+1 bits to represent. This is because the difference between the two extreme N-bit numbers is a number that is larger than the maximum N-bit number.

  5. In both these cases, if the system can only accommodate N bits for the result, an overflow occurs. This is because the result requires more bits than the system can provide.

  6. Therefore, overflow occurs when more than N bits are required to contain the result from an N-bit addition or subtraction.

This problem has been solved

Similar Questions

n an addition operation, an overflow is possible when both numbers are positive or when both numbers are negative.Group of answer choicesTrueFalse

Half adders have no scope of adding the carry bit resulting from the addition of previous bits.

The condition (top == -1) is used to check which of the following situation?a.Overflowb.Underflowc.isFull()d.None of the above

It is possible to get an overflow error in Two’s Complement when adding numbers of opposite signs. Group of answer choicesTrueFalse

The condition (top == -1) is used to check which of the following situation?a.Overflowb.Underflowc.isFull()d.None of the aboveClear my choice

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.