Practice Structure of a Floating Point Number: Sign, Exponent, Mantissa (Significand) - 4.4.2 | Module 4: Arithmetic Logic Unit (ALU) Design | Computer Architecture
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4.4.2 - Structure of a Floating Point Number: Sign, Exponent, Mantissa (Significand)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation