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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What part of the double-precision format indicates if a number is positive or negative?
💡 Hint: Consider the first bit in the number.
Question 2
Easy
How many bits are used for the exponent in double-precision format?
💡 Hint: Think about how many bits are needed to represent a range of values.
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 the total number of bits in the double-precision format according to IEEE 754?
- 32
- 64
- 128
💡 Hint: Think about how many bits are needed for high precision.
Question 2
True or False: The exponent field in double-precision format has a bias of 1023.
- True
- False
💡 Hint: Recall the lecture on exponent bias.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a normalized double-precision number with a sign bit of 0, exponent bits of 10000000001, and mantissa bits of 1111111111111111111111111111111111111111111111111111, calculate the true value.
💡 Hint: Break it down: convert the exponent back to its true form and remember to include the leading 1 in the mantissa.
Question 2
Explain how computations using double-precision can lead to rounding errors during long calculations.
💡 Hint: Consider how floating-point arithmetic differs from integer arithmetic regarding precision.
Challenge and get performance evaluation