Practice - Precision of Real Numbers
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Practice Questions
Test your understanding with targeted questions
What is the purpose of the sign bit in floating-point representation?
💡 Hint: Think about what might be needed to represent negative numbers.
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the sign bit in a floating-point number indicate?
💡 Hint: Remember its role in representing negative numbers.
True or False: The IEEE 754 standard allows both positive and negative exponents to be stored directly.
💡 Hint: Think about the purpose of bias in exponent representation.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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