Practice Normalization Process (9.1.3) - Floating Point Number Representation

Practice: Normalization Process

Lesson 9.1.3Floating Point Number Representation

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6 sample questions

Question 1.
What does the sign bit represent in floating-point representation?
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Think about what it means for a number to be positive or negative.
Question 2.
Define biased exponent in your own words.
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Consider how regular exponents can include negative values.
3Question 3.
What does the sign bit indicate in floating-point representation?
- Whether the number is positive or negative
- The number of bits used
- The exponent of the number
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Think about how signs are used in mathematics.
4Question 4.
True or False: The biased exponent allows negative exponents to be represented directly.
- True
- False
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Reflect on the purpose of using a bias in representations.
Question 5.
Imagine you're designing a floating-point calculator. Discuss how you would implement the normalization process for inputs. What errors might you encounter?
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Consider boundary cases in floating-point representation.
Question 6.
You have two floating-point numbers: 2.5 and -3.75. Calculate their representations using a biased exponent of 127 and discuss their accuracy.
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Don't forget to normalize both before converting.

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