Regex Tester & Validator

This regex is designed to match binary strings containing an even number of the digit '0'. It is structured to handle explicit pairs of zeros (`00`), individual ones (`1`), and complex sequences where an initial zero (preceded or followed by a 1) is eventually balanced by a final zero. Between these balancing zeros, it allows for pairs of zeros or any number of ones. It is commonly used in computer science and formal language theory to define the regular language of binary strings with an even number of zeros.