Practice Range Of Numbers And Precision (1.1.17.1) - Number Systems - Part A
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Range of Numbers and Precision

Practice - Range of Numbers and Precision

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What determines the range of values in floating-point representation?

💡 Hint: Think about which part of the floating-point format influences magnitude.

Question 2 Easy

What is the main purpose of the mantissa?

💡 Hint: Consider the part of the floating-point that conveys the value.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary purpose of the mantissa in floating-point representation?

To represent the sign
To determine the range
To express significant digits

💡 Hint: Reflect on what indicates the actual value of the number.

Question 2

True or False: Increasing the number of bits in the exponent increases numerical precision.

True
False

💡 Hint: Think about the definitions of range and precision.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Your computer uses a floating-point representation with 5 bits for the exponent and 10 bits for the mantissa. Calculate the range of floating-point numbers it can represent.

💡 Hint: Use your knowledge of exponents to compute the extreme values.

Challenge 2 Hard

If the mantissa is stored in 24 bits, determine the precision in decimal digits when represented in floating-point.

💡 Hint: Utilize the relationship between the number of bits and its decimal approximation.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.