Practice Example 1.11 (1.14.4) - Number Systems - Part B - Digital Electronics - Vol 1
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Example 1.11

Practice - Example 1.11

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the IEEE-754 standard define?

💡 Hint: Think about standards for representing real numbers.

Question 2 Easy

Convert 142 to binary.

💡 Hint: Divide by 2 and record the remainders.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 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

💡 Hint: Think about the structure of floating-point representation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Use the normalization and bias values.

Challenge 2 Hard

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

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

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Reference links

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