Given = ( + +) + and = ( +) (check image for correct formatting of symbols)

a) Give an example of a string that is neither in the language of R nor in S. [2 marks]

b) Give an example of a string that is in the language of S but not R. [2 marks]

c) Give an example of a string that is in the language of R but not S. [2 marks]

d) Give an example of a string that is in the language of R and S. [2 marks]

e) Design a regular expression that accepts the language of all binary strings with no occurrences of 001. [3 marks]

f) Design a regular expression that accepts the language of all binary strings which their length is odd with no occurrences of 11.

7) Given R=b(ba+a+)+b and S=(aba+b) a) Give an example of a string that is neither in the language of R nor in S. [2 marks] b) Give an example of a string that is in the language of S but not R. [2 marks] c) Give an example of a string that is in the language of R but not S. [2 marks] d) Give an example of a string that is in the language of R and S. [2 marks] e) Design a regular expression that accepts the language of all binary strings with no occurrences of 001. [3 marks] f) Design a regular expression that accepts the language of all binary strings which their length is odd with no occurrences of 11. [3 marks]