Practice Precision of Real Numbers - 9.3.3 | 9. Floating Point Number Representation | Computer Organisation and Architecture - Vol 1
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9.3.3 - Precision of Real Numbers

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of the sign bit in floating-point representation?

💡 Hint: Think about what might be needed to represent negative numbers.

Question 2

Easy

How many bits are used for the exponent in a 32-bit IEEE 754 representation?

💡 Hint: Consider the total number of bits allocated in the format.

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 does the sign bit in a floating-point number indicate?

  • It indicates the decimal point
  • It indicates the sign of the number
  • It indicates the exponent

💡 Hint: Remember its role in representing negative numbers.

Question 2

True or False: The IEEE 754 standard allows both positive and negative exponents to be stored directly.

  • True
  • False

💡 Hint: Think about the purpose of bias in exponent representation.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Convert the number 2.75 into its IEEE 754 32-bit floating-point representation.

💡 Hint: Remember the normalization process and how to compute the biased exponent.

Question 2

If you have a 64-bit representation with a significand of 1.1101 and biased exponent of 1024, what is the actual exponent when decoded?

💡 Hint: Remember to subtract the bias from the biased exponent to get the actual exponent.

Challenge and get performance evaluation