Practice Example of Bit Strings without Consecutive 0's - 13.2 | 13. Counting Using Recurrence Equations | Discrete Mathematics - Vol 2
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13.2 - Example of Bit Strings without Consecutive 0's

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

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

Question 2

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.

Challenge and get performance evaluation