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

Practice: Addition and Overflow

Lesson 8.3.1Hexadecimal Representation

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10 questions

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6 sample questions

Question 1.
What is the hex representation of the decimal number 255?
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Think about how binary digits group into four.
Question 2.
What does binary overflow mean?
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Consider what happens in binary addition.
3Question 3.
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
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Think about what happens when the total exceeds what can be shown in binary.
4Question 4.
True or False: In two's complement representation, the bit pattern '11111111' represents +1.
- True
- False
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Recall how two's complement works.
Question 5.
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?
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Convert -3 to two's complement and perform the addition step-by-step.
Question 6.
If you add two 4-bit numbers, 0110 and 1011. What do you get, and why might it cause an overflow?
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Count your bits and check if the result fits within four bits.

6 more questions in this section. Enroll free to practise them all.