Practice Signed Binary Numbers (9.2.2) - Principles of Computer Arithmetic in System Design
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Signed Binary Numbers

Practice - Signed Binary Numbers

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the MSB represent in sign-magnitude format?

💡 Hint: Think about whether the number is positive or negative.

Question 2 Easy

How do you create a negative number in 1's complement?

💡 Hint: Consider flipping the bits.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the 2's complement of the binary number 0110?

1001
1010
1100

💡 Hint: Remember to invert and then add.

Question 2

In what signed binary format do both +0 and -0 exist?

True
False

💡 Hint: Think about how zero can be represented in different formats.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert the decimal value -5 into an 8-bit binary number using 2's complement. Show your work.

💡 Hint: Follow the 2's complement procedure step by step.

Challenge 2 Hard

Explain the mathematical implications of using 1's complement in a computer arithmetic operation. How could it lead to errors compared to 2's complement?

💡 Hint: Think about how zero and carry issue affects results.

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