Practice 2’s Complement (9.2.2.3) - Principles of Computer Arithmetic in System Design
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2’s Complement

Practice - 2’s Complement

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the 2's complement of the binary number 00001101?

💡 Hint: Remember to invert all bits and add 1.

Question 2 Easy

What is the range of numbers in an 8-bit 2's complement representation?

💡 Hint: Consider the maximum values for signed integers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does 2's complement help us perform in computer arithmetic?

Only addition
Only subtraction
Both addition and subtraction

💡 Hint: Think about how subtraction can be transformed in binary.

Question 2

In an 8-bit 2's complement system, what is the representation for -128?

💡 Hint: Recall the first bit represents the sign in 2's complement representation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the 2's complement representation 11010010, convert it to decimal and explain your reasoning.

💡 Hint: Remember to invert the bits and then add.

Challenge 2 Hard

If you have two signed integers, +30 (00111110) and -10 (11110110), what would be their sum in 2's complement? Show the binary addition process.

💡 Hint: Use binary addition rules while keeping track of overflow.

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