Practice 1’s Complement (9.2.2.2) - Principles of Computer Arithmetic in System Design
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1’s Complement

Practice - 1’s Complement

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the 1's complement representation of +7 (in 4 bits)?

💡 Hint: Convert 7 to binary.

Question 2 Easy

How do you find the 1's complement of a binary number?

💡 Hint: Remember, change 0s to 1s and 1s to 0s.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the 1's complement of the binary number 0101?

1010
0101
0000

💡 Hint: Flip each bit in `0101`.

Question 2

True or False: In 1's complement, addition of two signed numbers always gives a unique result.

True
False

💡 Hint: Think about how addition might vary with carries.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are tasked with computing the sum of 3 and -5 using 1's complement representation. Show the step-by-step addition.

💡 Hint: Pay attention to what happens with carries during addition.

Challenge 2 Hard

Discuss the implications of representing zero in 1's complement. What could be the risks in a programming environment?

💡 Hint: Consider how binary comparisons might lead to errors if zero is not fully accounted.

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