Practice Structure Of A Floating Point Number: Sign, Exponent, Mantissa (significand) (4.4.2)
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Structure of a Floating Point Number: Sign, Exponent, Mantissa (Significand)

Practice - Structure of a Floating Point Number: Sign, Exponent, Mantissa (Significand)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the sign bit represent in a floating-point number?

💡 Hint: Think about what the 'sign' refers to.

Question 2 Easy

How does the exponent affect the floating-point number?

💡 Hint: Consider how this impacts large and small numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a sign bit of 1 represent in a floating-point number?

True
False

💡 Hint: Think about what 'negative' means.

Question 2

The mantissa in a floating-point number represents what?

Magnitude
Significance
Both

💡 Hint: Remember its role in determining value.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert the decimal number 3.125 into a normalized floating-point representation using a sign bit, exponent, and mantissa in IEEE 754 format. Assume single-precision.

💡 Hint: Follow each conversion step carefully.

Challenge 2 Hard

Given a floating-point number with sign bit 1, exponent 130, and mantissa 0.101, what is its decimal value? How would the value change if the exponent were 128 instead?

💡 Hint: Pay attention to how the exponent adjusts the final value.

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Reference links

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