Practice Floating Point Arithmetic (4.4) - Arithmetic Logic Unit (ALU) 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 is the primary purpose of floating-point numbers?

💡 Hint: Think about limitations of integers.

Question 2 Easy

What does normalization in floating point signify?

💡 Hint: Focus on what 'leading 1' implies in binary.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What structure does a floating-point number have?

Sign
Exponent
Mantissa
Sign
Base
Scale
Exponent
Base
Modulus

💡 Hint: Consider what parts are essential to its representation.

Question 2

True or False: Floating point representation is limited in its precision.

True
False

💡 Hint: Think about how computers handle values.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a number is represented with a bias of 127 and its stored exponent is 130, what is the true exponent?

💡 Hint: Consider how bias affects readings.

Challenge 2 Hard

Propose a scenario where floating-point loss of significance could occur and explain its impact.

💡 Hint: Examine the effects through examples in scientific computation.

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Reference links

Supplementary resources to enhance your learning experience.