Practice Example 1.11 - 1.14.4 | 1. Number Systems - Part B | Digital Electronics - Vol 1
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1.14.4 - Example 1.11

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the IEEE-754 standard define?

πŸ’‘ Hint: Think about standards for representing real numbers.

Question 2

Easy

Convert 142 to binary.

πŸ’‘ Hint: Divide by 2 and record the remainders.

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 main purpose of the IEEE-754 standard?

  • To define physical components
  • To standardize floating-point arithmetic
  • To regulate hardware sales

πŸ’‘ Hint: Consider the context of number representation in computing.

Question 2

True or False: The mantissa is included in the exponent of a floating-point representation.

  • True
  • False

πŸ’‘ Hint: Think about the structure of floating-point representation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Convert the decimal number 45.75 into IEEE-754 single-precision format.

πŸ’‘ Hint: Use the normalization and bias values.

Question 2

Discuss the importance of changing the IEEE-754 standard to include decimal formats. What implications does this have for accuracy?

πŸ’‘ Hint: Consider how binary fractions can lead to rounding errors when trying to express decimal fractions.

Challenge and get performance evaluation