Write a regular expression for the set of string that consists of alternating 0’s and 1’s.

A regular expression for the set of string that consists of altering 0’s and 1’s. For this we have to consider some steps, they are:
Step-1: To get all string that being with 0 and end 1. We can use the regular expression (01)^*.
Step-2: To get all string that begin with 1 and end with 0. We can use the expression (10)^*.
Step-3: To get the set of all string that both being and end with 0 we can use the regular expression 0(10)^*.
Step-4: To get the set of all string that both being and end with 1 we can use the regular expression 1(01)^*.
Then, the entire regular expression that is the set of string consists of alternatives 0’s and 1’s.
(01)^* + (10)^* + 0(10)^* + 1(01)^*
Here, we use ‘+’ operator to take the union of four language that together gives us all the strings with alternating 0’s and 1’s.