Practice Example Of Bit Strings Without Consecutive 0's (13.2) - Counting Using Recurrence Equations
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Example of Bit Strings without Consecutive 0's

Practice - Example of Bit Strings without Consecutive 0's

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is C(1)?

💡 Hint: Consider the valid strings of length 1.

Question 2 Easy

List the valid bit strings of length 2.

💡 Hint: Remember that two consecutive zeros are not allowed.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is C(2)?

1
2
3

💡 Hint: Count the valid strings of two bits.

Question 2

C(n) is defined as?

True
False

💡 Hint: Remember what our function counts.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the recurrence relation, calculate C(6) and validate your answer.

💡 Hint: Don’t forget to use the previous two values you computed.

Challenge 2 Hard

Create a program that generates all possible n-bit strings and filters out those containing consecutive 0's. Verify its output for n = 5.

💡 Hint: Try using recursive functions for bit generation.

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Reference links

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