Practice Fixed-point Representation (9.2.3) - Principles of Computer Arithmetic in System Design
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Fixed-Point Representation

Practice - Fixed-Point Representation

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Practice Questions

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Question 1 Easy

What is fixed-point representation?

💡 Hint: Think about how numbers with decimals are represented.

Question 2 Easy

What does the binary point do in a fixed-point number?

💡 Hint: What is the analogy with decimal numbers?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main advantage of fixed-point representation?

A. More precision
B. Less computational resources
C. Easier to implement floating-point math

💡 Hint: Think about how speed plays a role in computational design.

Question 2

True or False: Fixed-point representation can represent any real number.

True
False

💡 Hint: Consider the concept of overflow and maximum values.

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Challenge Problems

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Challenge 1 Hard

You need to design a fixed-point representation system that has 10 bits. How would you allocate bits for the integer and fractional part to maximize both range and precision? Explain your reasoning.

💡 Hint: Consider how increasing the integer part limits precision for fractions.

Challenge 2 Hard

You encounter an arithmetic overflow when adding two fixed-point numbers. What steps can you take to prevent this in future designs?

💡 Hint: Look into incorporating better ranges for your representations to avoid limit breaches.

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Reference links

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