Practice Addition And Overflow (8.3.1) - Hexadecimal Representation - Computer Organisation and Architecture - Vol 1
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Addition and Overflow

Practice - Addition and Overflow

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the hex representation of the decimal number 255?

💡 Hint: Think about how binary digits group into four.

Question 2 Easy

What does binary overflow mean?

💡 Hint: Consider what happens in binary addition.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the term 'overflow' refer to in binary addition?

A condition that occurs when you add two numbers correctly
A condition that occurs when the result exceeds the bit capacity
A regular carry

💡 Hint: Think about what happens when the total exceeds what can be shown in binary.

Question 2

True or False: In two's complement representation, the bit pattern '11111111' represents +1.

True
False

💡 Hint: Recall how two's complement works.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have an 8-bit binary number representing -3. What is this number in two's complement, and what number results when you add it to +1?

💡 Hint: Convert -3 to two's complement and perform the addition step-by-step.

Challenge 2 Hard

If you add two 4-bit numbers, 0110 and 1011. What do you get, and why might it cause an overflow?

💡 Hint: Count your bits and check if the result fits within four bits.

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