Practice Two's Complement Representation: The Standard for Signed Integers - 3.3.2.3 | Module 3: Processor Organization and Data Representation | Computer Architecture
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3.3.2.3 - Two's Complement Representation: The Standard for Signed Integers

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Convert +3 to 4-bit two's complement.

💡 Hint: A positive number is represented as normal binary.

Question 2

Easy

What do you do to find the two's complement of a negative number?

💡 Hint: Think of the phrase 'Invert and Add'.

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 is the two's complement of -3 in 4-bits?

  • 0011
  • 1101
  • 1110

💡 Hint: Remember the steps for negative conversions.

Question 2

Does two's complement have a unique representation for zero?

  • True
  • False

💡 Hint: Compare with other methods that have dual representations.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Show how (-7) + (+3) would be computed in a 4-bit two's complement system. What do you find?

💡 Hint: Follow conversion rules for both numbers and add them.

Question 2

In a 4-bit system, if two negative numbers are added and result in a binary that looks different from expected, explain why this may happen.

💡 Hint: Consider how many bits you are working with and where overflow might happen.

Challenge and get performance evaluation