Practice Addition Using The 2’s Complement Method (3.2.1) - Digital Arithmetic - Part A
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Addition Using the 2’s Complement Method

Practice - Addition Using the 2’s Complement Method

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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 00001010?

💡 Hint: Flip all bits and add one.

Question 2 Easy

What does adding two positive binary numbers yield?

💡 Hint: Think about the decimal equivalents.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the purpose of disregarding the final carry in 2’s complement addition?

It simplifies the process
It prevents overflow errors
Both are correct

💡 Hint: Consider the implications of carries in binary numbers.

Question 2

True or False: In a 2's complement system, a positive number always has the leading bit as 1.

True
False

💡 Hint: Recall how signs are determined in binary systems.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Add the following binary numbers: 11001010 (decimal -54) and 00101101 (decimal 45). What is the answer in decimal?

💡 Hint: Follow the steps for 2's complement addition carefully.

Challenge 2 Hard

Subtract -18 (11101110) from +45 (00101101) using the 2's complement method. What is the binary and decimal result?

💡 Hint: Convert -18 to 2's complement before performing the calculation.

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Reference links

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