Let A be the language defined as follows: A ={ xe{0,1}* | the number of Os in x is 4k+1 or 4k+2 for some integer k} Which of the following regular expressions represents A? O (1*01'01"01 01")r01) U (1*01*01 01*01*)*01 01*) O (1'0) U (1'01'0)(1 00001)" (1'01*01*01 01") (01") U (01°01) O (1*0(1'01"01"01'01)) U (1 0(1*01*01*01*01*)*01*) O 0(1*01*01*01'01)0
Let A be the language defined as follows: A ={ xe{0,1}* | the number of Os in x is 4k+1 or 4k+2 for some integer k} Which of the following regular expressions represents A? O (1*01'01"01 01")r01) U (1*01*01 01*01*)*01 01*) O (1'0) U (1'01'0)(1 00001)" (1'01*01*01 01") (01") U (01°01) O (1*0(1'01"01"01'01)) U (1 0(1*01*01*01*01*)*01*) O 0(1*01*01*01'01)0
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:**Let A be the language defined as follows:**
\( A = \{ x \in \{0,1\}^* \mid \) the number of 0s in \( x \) is \( 4k+1 \) or \( 4k+2 \) for some integer \( k \} \)
**Which of the following regular expressions represents \( A \)?**
- \( (1^*01^*01^*01^*01^*) \cup ((1^*01^*01^*01^*)^*01^*01^*) \)
- \( ((1^*) \cup (1^*01^*))\{00001\}^* \)
- \( (1^*01^*01^*01^*01^*)^*(01^* \cup (01^*01^*)) \)
- \( 1^*0(1^*01^*01^*01^*01^*) \cup 1^*0(1^*01^*01^*01^*01^*)^*01^* \)
- \( 0(1^*01^*01^*01^*01^*)0 \)
This question is part of a larger educational exercise focusing on the use of regular expressions to define languages based on specific patterns involving 0s and 1s. The goal is to choose the correct regular expression that represents the specified language \( A \).
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