Practice 2’s Complement - 9.2.2.3 | 9. Principles of Computer Arithmetic in System Design | Computer and Processor Architecture
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

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Challenge Problems

Push your limits with challenges.

Question 1

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

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

Question 2

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.

Challenge and get performance evaluation