Practice Two's Complement Representation: The Standard For Signed Integers (3.3.2.3)
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Two's Complement Representation: The Standard for Signed Integers

Practice - Two's Complement Representation: The Standard for Signed Integers

Learning

Practice Questions

Test your understanding with targeted questions

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'.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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