Practice - Bit Strings with Substring '01'
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Practice Questions
Test your understanding with targeted questions
What is S(2)?
💡 Hint: Think about the minimal string that contains '01'.
List valid bit strings of length 3 containing '01'.
💡 Hint: Consider where '01' can appear in a string of length 3.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which category of strings does S(n) incorporate when starting with '1'?
💡 Hint: Think about what must hold true if the first bit is '1'.
True or False: S(n) considers both cases of leading zeros and starting with '1'.
💡 Hint: Reflect on how both categories are defined and their contributions to S(n).
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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