Practice Two’s Complement (8.2.3) - Hexadecimal Representation - Computer Organisation and Architecture - Vol 1
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Two’s Complement

Practice - Two’s Complement

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the two's complement representation of +2?

💡 Hint: Try converting +2 to binary first.

Question 2 Easy

What does the most significant bit indicate in two's complement?

💡 Hint: Think about binary numbers and their signs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is two's complement used for?

Representing positive numbers
Representing negative numbers
Both

💡 Hint: Think about the main purpose of this representation.

Question 2

True or False: In two's complement, the range of numbers is symmetric around zero.

True
False

💡 Hint: Reflect on the implications of how numbers are represented.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If you have 6 + (-15) in two's complement, what would the direct binary addition and result be? Explain the process.

💡 Hint: Review how to convert negative numbers and ensure your addition follows proper binary rules.

Challenge 2 Hard

Explain how to detect an overflow condition in the addition of 7 and -5 using the two's complement. Include examples!

💡 Hint: Recall the rules for adds and the conditions for overflow.

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