Write a regular expression of the language havingstrings that either start or end with "00" and have nomore zeroes. where the alphabet is {0,1}.

001*|1*00

Explanation:

The language consists of strings in {0,1} that either start with 00 or end with 00 and have no more zeros.

The requirement can be divided into two parts:

1) Strings that start with 00 and have no more zeros

2) Strings that end with 00 and have no more zeros

Generating regular expressions for these parts:

1) 001*  - starts with two zeros and can have zero or more 1s later

2)1*00  - starts with zero or more 1s and ends with two zeros

So on combining with the or operator(|), the overall regular expression for the strings in the language becomes:

001*|1*00

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