1.3 - Floating-Point Representation
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Practice Questions
Test your understanding with targeted questions
What does the sign bit represent in floating-point representation?
💡 Hint: Think about how we denote positive and negative values.
Define 'mantissa' in the context of floating-point numbers.
💡 Hint: It’s part of what makes the number significant.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the mantissa in floating-point representation indicate?
💡 Hint: Think about what makes a number significant.
True or False: Floating-point representation can exactly represent every real number.
💡 Hint: Remember the limitations of floating-point arithmetic.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Explain how rounding errors might accumulate in a series of calculations. What steps can be taken to minimize such errors in numerical algorithms?
💡 Hint: Consider situations where many calculations are chained together.
Provide an example where loss of significance could impact the outcome of a critical calculation in engineering.
💡 Hint: Think about very close measurements.
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