Practice Floating Point Arithmetic Operations (4.5.3) - Arithmetic Logic Unit (ALU) Design
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Floating Point Arithmetic Operations

Practice - Floating Point Arithmetic Operations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the three main components of a floating-point number?

💡 Hint: Think about how each part defines the number.

Question 2 Easy

What does the sign bit indicate in a floating-point number?

💡 Hint: Is it a 0 or a 1?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the mantissa of a floating-point number represent?

It indicates the sign
It represents the scaled value
It determines numerical precision

💡 Hint: Think about the role of mantissa in the structure.

Question 2

True or False: In floating-point multiplication, the exponents of the two numbers need to be aligned before performing the operation.

True
False

💡 Hint: Recall how multiplication differs from addition.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a floating-point representation of +12.75 and -5.5 in binary, perform addition and show each step from extraction to normalization.

💡 Hint: Align exponents first! Look closely at the binary representations.

Challenge 2 Hard

Explain how denormalized numbers help prevent errors in floating-point calculations close to zero.

💡 Hint: Think about why we need more granular representation near zero.

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Reference links

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