Practice Floating-point Arithmetic (9.4) - Principles of Computer Arithmetic in System Design
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Floating-Point Arithmetic

Practice - Floating-Point Arithmetic

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the three components of floating-point representation?

💡 Hint: Think of SEM!

Question 2 Easy

What is normalization in floating-point arithmetic?

💡 Hint: What range should the mantissa typically fall within?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a key feature of floating-point arithmetic?

It handles only whole numbers
It can represent very large or small numbers
It is always precise

💡 Hint: Think about the applications of floating-point in real-world computations.

Question 2

Is rounding necessary in floating-point arithmetic?

True
False

💡 Hint: Recall why we discuss rounding modes.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given two floating point numbers 5.0 (sign = 0, exponent = 2, mantissa = 101) and 0.625 (sign = 0, exponent = -1, mantissa = 101), demonstrate how to add these numbers in floating-point format.

💡 Hint: What happens to the mantissa when you align the exponents?

Challenge 2 Hard

A program returns NaN after a floating-point operation. What might have caused this, and how would you handle it?

💡 Hint: Think about types of operations that are not valid in mathematics.

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Reference links

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