Practice Floating-Point Arithmetic - 9.4 | 9. Principles of Computer Arithmetic in System Design | Computer and Processor Architecture
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the three components of floating-point representation?

πŸ’‘ Hint: Think of SEM!

Question 2

Easy

What is normalization in floating-point arithmetic?

πŸ’‘ Hint: What range should the mantissa typically fall within?

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 is a key feature of floating-point arithmetic?

  • It handles only whole numbers
  • It can represent very large or small numbers
  • It is always precise

πŸ’‘ Hint: Think about the applications of floating-point in real-world computations.

Question 2

Is rounding necessary in floating-point arithmetic?

  • True
  • False

πŸ’‘ Hint: Recall why we discuss rounding modes.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given two floating point numbers 5.0 (sign = 0, exponent = 2, mantissa = 101) and 0.625 (sign = 0, exponent = -1, mantissa = 101), demonstrate how to add these numbers in floating-point format.

πŸ’‘ Hint: What happens to the mantissa when you align the exponents?

Question 2

A program returns NaN after a floating-point operation. What might have caused this, and how would you handle it?

πŸ’‘ Hint: Think about types of operations that are not valid in mathematics.

Challenge and get performance evaluation