Practice Rounding Modes - 4.5.4 | Module 4: Arithmetic Logic Unit (ALU) Design | Computer Architecture
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4.5.4 - Rounding Modes

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Round to Nearest Even mode in floating-point arithmetic?

💡 Hint: Think about how it deals with halfway cases.

Question 2

Easy

Describe what Round to Zero does.

💡 Hint: Consider what happens to the fractional part.

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

Which rounding mode rounds to the nearest representable number?

  • Round to Zero
  • Round to Nearest Even
  • Round to Plus Infinity

💡 Hint: Think of how it deals with ties.

Question 2

True or False: Round to Zero introduces a consistent bias towards positive numbers.

  • True
  • False

💡 Hint: Consider what happens when you truncate.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A financial calculator utilizes floating-point arithmetic to sum small interest payments over many transactions. Explain how the choice of rounding mode could affect total interest calculation over time.

💡 Hint: Consider the direction of rounding in each transaction.

Question 2

You are programming a simulation that involves a series of calculations with very small decimal numbers. Discuss the potential pitfalls of using Round to Zero in this scenario.

💡 Hint: Think of how truncating might affect values across multiple operations.

Challenge and get performance evaluation