In Python, hexadecimal numbers are often represented as strings, e.g., “1a3f.” How can you perform two-way conversions between hexadecimal strings and decimal integers in Python, ensuring proper formatting for hexadecimal strings, and handling different bases for conversion?

In Python, hexadecimal numbers are often represented as strings, e.g., “1a3f.” How can you perform two-way conversions between hexadecimal strings and decimal integers in Python, ensuring proper formatting for hexadecimal strings, and handling different bases for conversion? Provide code examples for both conversions, including error handling and formatting considerations.