Practice Rounding Modes (4.5.4) - Arithmetic Logic Unit (ALU) Design - Computer Architecture
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Rounding Modes

Practice - Rounding Modes

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Practice Questions

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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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

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Challenge 1 Hard

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.

Challenge 2 Hard

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.

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