Practice Floating Point Arithmetic Operations - 4.5.3 | Module 4: Arithmetic Logic Unit (ALU) Design | Computer Architecture
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4.5.3 - Floating Point Arithmetic Operations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation