Practice Overflow Detection In Two's Complement (3.3.4) - Processor Organization and Data Representation
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Overflow Detection in Two's Complement

Practice - Overflow Detection in Two's Complement

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the conditions for positive and negative overflow in two's complement?

💡 Hint: Think about how the signs of the numbers affect the end result.

Question 2 Easy

Can overflow occur when adding a positive and a negative number?

💡 Hint: Consider the ranges of the two numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens during positive overflow in two's complement?

The sum is negative
The sum is positive
No effect

💡 Hint: Think about how the number representation changes.

Question 2

If the carry-in to the MSB is 1 and the carry-out is 0, what does this indicate?

True
False

💡 Hint: Remember how we check for differences in carry bits.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using 4-bit two's complement, add +7 (0111) and +1 (0001). What is the result? Detect any overflow.

💡 Hint: Write out the full addition step-by-step to observe carry bits.

Challenge 2 Hard

Consider adding -7 (1001) and -2 (1110) in 4-bit two's complement. What would be the result and overflow status?

💡 Hint: Pay attention to the signs and results to check for overflow.

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Reference links

Supplementary resources to enhance your learning experience.