Practice Range of Numbers and Precision - 1.1.17.1 | 1. Number Systems - Part A | Digital Electronics - Vol 1
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1.1.17.1 - Range of Numbers and Precision

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation