Practice Floating-Point Representation - 9.2.4 | 9. Principles of Computer Arithmetic in System Design | Computer and Processor Architecture
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the IEEE 754 standard?

πŸ’‘ Hint: Think about a method used for scientific calculations.

Question 2

Easy

How many bits are in the single precision format?

πŸ’‘ Hint: Remember the total counts of bits and their arrangement.

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 sign bit in floating-point representation signify?

  • It denotes the exponent
  • It indicates positivity or negativity
  • It encodes the mantissa

πŸ’‘ Hint: Think of how you would show a negative number.

Question 2

True or False: The exponent in floating-point representation only allows for positive numbers.

  • True
  • False

πŸ’‘ Hint: Consider the roles of different parts of the floating-point format.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the decimal numbers 15.875 and -2.5, convert both into their IEEE 754 single precision representation.

πŸ’‘ Hint: Normalize the decimal to binary and determine the exponent before finalizing.

Question 2

Discuss a scenario where floating-point precision errors might lead to significant problems in a real-world application.

πŸ’‘ Hint: Think about where accuracy is crucial, like money or scientific data!

Challenge and get performance evaluation