Practice Ranges And Accuracy Of Floating Point Numbers (9.1.4) - Floating Point Number Representation
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Ranges and Accuracy of Floating Point Numbers

Practice - Ranges and Accuracy of Floating Point Numbers

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the three components of a floating point representation?

💡 Hint: Think about the bits involved in the representation.

Question 2 Easy

Explain how biased exponent works in next slide reference.

💡 Hint: Recall the example of how we converted '20' into '147'.

1 more question available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the sign bit indicate in floating-point representation?

Magnitude of the number
Type of number (pos/neg)
Value of exponent

💡 Hint: Remember the basic definition of sign in math.

Question 2

The IEEE 754 standard is used for what?

True
False

💡 Hint: Think of global computing standards.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate how a number like 1.5 can be represented in both binary and floating-point format. Provide both representations.

💡 Hint: Remember to normalize the representation before applying bias.

Challenge 2 Hard

Given a 64-bit representation, explain how to calculate the range of representable values.

💡 Hint: Consider how much you add based on the bits allocated for the exponent.

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