Practice Ranges and Accuracy of Floating Point Numbers - 9.1.4 | 9. Floating Point Number Representation | Computer Organisation and Architecture - Vol 1
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Practice Questions

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Question 1

Easy

What are the three components of a floating point representation?

💡 Hint: Think about the bits involved in the representation.

Question 2

Easy

Explain how biased exponent works in next slide reference.

💡 Hint: Recall the example of how we converted '20' into '147'.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the sign bit indicate in floating-point representation?

  • Magnitude of the number
  • Type of number (pos/neg)
  • Value of exponent

💡 Hint: Remember the basic definition of sign in math.

Question 2

The IEEE 754 standard is used for what?

  • True
  • False

💡 Hint: Think of global computing standards.

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Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate how a number like 1.5 can be represented in both binary and floating-point format. Provide both representations.

💡 Hint: Remember to normalize the representation before applying bias.

Question 2

Given a 64-bit representation, explain how to calculate the range of representable values.

💡 Hint: Consider how much you add based on the bits allocated for the exponent.

Challenge and get performance evaluation