Practice Single-Precision (32-bit) Format - 4.5.1 | Module 4: Arithmetic Logic Unit (ALU) Design | Computer Architecture
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4.5.1 - Single-Precision (32-bit) Format

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the total number of bits used in the IEEE 754 single-precision format?

💡 Hint: It is a commonly used number in computing.

Question 2

Easy

What does the sign bit represent in floating-point numbers?

💡 Hint: Think about how numbers can have a positive or negative value.

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 is represented by the first bit in single-precision format?

  • The mantissa
  • The exponent
  • The sign bit

💡 Hint: Recall the role of the first bit in binary representations.

Question 2

True or False: The IEEE 754 single-precision format does not support special values like infinity.

  • True
  • False

💡 Hint: Think about how programs handle extreme cases.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A floating-point number has a 1 sign bit, an exponent of 132, and a mantissa of 101101. Calculate its true value.

💡 Hint: Start by determining the true exponent and then calculate the mantissa's value.

Question 2

Explain the consequences of insufficient precision in a real-world calculation using floating-point numbers.

💡 Hint: Consider how repeated calculations could cascade small errors into a significant final discrepancy.

Challenge and get performance evaluation