How to properly do Exception Handling with try and catch using C#

Question

I am trying to include an exception handling in to this small sample of code. When I am prompted to input the conversionType, I tried to input strings which are supposed to trigger the catch code and print out the error message, but instead the code just shuts down like any other errors, suggesting that the error was not caught by the try catch blocks. I am still learning how exception handling works in C#. So is there anyway to correctly catch the exception and prevent the code from crashing?

static void Main(string[] args)
        {
            int conversionType;
            double number;
            Console.WriteLine("Choose the type of conversion:
" +
                              "1.Celsius to Fahrenheit
" +
                              "2.Fahrenheit to Celsius");

            try
            {
                conversionType = Convert.ToInt32(Console.ReadLine());
                if (conversionType == 1)
                {
                    Console.WriteLine("Enter the Temperature in Celsius: ");
                    number = Convert.ToDouble(Console.ReadLine());
                    number = number * 9 / 5 + 32;
                    Console.WriteLine("Temperature in Fahrenheit: {0:00.0}°F", number);
                }
                else if (conversionType == 2)
                {
                    Console.WriteLine("Enter the Temperature in Fahrenheit: ");
                    number = Convert.ToDouble(Console.ReadLine());
                    number = (number - 32) * 5 / 9;
                    Console.WriteLine("Temperature in Celsius: {0:00.0}°C", number);
                }
            }

            catch(Exception e)
            {
                Console.WriteLine(e.Message);
            }
        }

question from:https://stackoverflow.com/questions/65599105/how-to-properly-do-exception-handling-with-try-and-catch-using-c-sharp