Practice Integer Arithmetic: Addition and Subtraction of Two's Complement Numbers - 3.3.3 | Module 3: Processor Organization and Data Representation | Computer Architecture
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3.3.3 - Integer Arithmetic: Addition and Subtraction of Two's Complement Numbers

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Convert +5 to 4-bit two's complement.

💡 Hint: Use direct binary representation.

Question 2

Easy

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

💡 Hint: Invert the bits of +3 and add 1.

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 -5 in 4 bits?

  • 1011
  • 1101
  • 0111

💡 Hint: Think of flipping the bits first and then adding one.

Question 2

True or False: Overflow occurs when adding a positive number and a negative number.

  • True
  • False

💡 Hint: Consider the ranges of the numbers involved.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Calculate the result of adding +7 (0111) and +8 (1000) in 4-bit two's complement. What does overflow indicate?

💡 Hint: Pay attention to the carry-in and carry-out of the MSB.

Question 2

Using 8 bits, find the two's complement representation of -128 and what its addition with +1 reveals about overflow.

💡 Hint: In 8-bit two's complement, check the upper limits of negative values.

Challenge and get performance evaluation