Practice Floating-point Representation (1.3) - Introduction to Numerical Methods

Practise this section

10 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does the sign bit represent in floating-point representation?
Show hintHide hint
Think about how we denote positive and negative values.
Question 2.
Define 'mantissa' in the context of floating-point numbers.
Show hintHide hint
It’s part of what makes the number significant.
3Question 3.
What does the mantissa in floating-point representation indicate?
- The precision of the value
- The sign of the value
- The magnitude
Show hintHide hint
Think about what makes a number significant.
4Question 4.
True or False: Floating-point representation can exactly represent every real number.
- True
- False
Show hintHide hint
Remember the limitations of floating-point arithmetic.
Question 5.
Explain how rounding errors might accumulate in a series of calculations. What steps can be taken to minimize such errors in numerical algorithms?
Show hintHide hint
Consider situations where many calculations are chained together.
Question 6.
Provide an example where loss of significance could impact the outcome of a critical calculation in engineering.
Show hintHide hint
Think about very close measurements.

6 more questions in this section. Enroll free to practise them all.