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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is S(2)?
💡 Hint: Think about the minimal string that contains '01'.
Question 2
Easy
List valid bit strings of length 3 containing '01'.
💡 Hint: Consider where '01' can appear in a string of length 3.
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
Which category of strings does S(n) incorporate when starting with '1'?
- Only strings with two 1's
- Strings with at least one '01'
- Only strings of length n-1
💡 Hint: Think about what must hold true if the first bit is '1'.
Question 2
True or False: S(n) considers both cases of leading zeros and starting with '1'.
- True
- False
💡 Hint: Reflect on how both categories are defined and their contributions to S(n).
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the values of S(6) based on the established recurrence. Then, describe the logic.
💡 Hint: Use previously computed values and step through the relation incrementally.
Question 2
If the concept of leading zeros is modified to allow a fixed number (like 2) before a 1 appears, reformulate S(n) to accommodate this.
💡 Hint: Explore how variations in leading zero lengths adjust our recurrence.
Challenge and get performance evaluation