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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the total number of bit strings of length 1?
💡 Hint: Think of all possible combinations of 0s and 1s.
Question 2
Easy
Provide the valid strings of length 2 without '000'.
💡 Hint: List all combinations of 2 bits.
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 B(n)?
💡 Hint: Consider what B(n) represents in our earlier explanations.
Question 2
How many bits strings of length 3 are valid for A(3)?
- 1
- 2
- 4
- 7
💡 Hint: Count the valid strings without the substring '000'.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the number of valid bit strings of length 6 without the substring '000'.
💡 Hint: Ensure you use A(3), A(4), and A(5) correctly.
Question 2
If n grows larger, what would be the limiting behavior of the ratio B(n)/A(n)? Explain.
💡 Hint: Think about the overall growth patterns of Fibbonaci-like sequences.
Challenge and get performance evaluation