Serial read_problem

The name 'inByte' seems to imply that the variable should be a 'byte' instead of an 'int'. I would make it a 'char' instead, since that is the natural type for a variable that holds a character.

void setup()
{
  // initialize serial communication:
  Serial.begin(9600);
  Serial.println();
  Serial.println("Started.");
}

void loop()
{
  if (Serial.available() > 0)
  {
    char inChar = Serial.read();

    if (inChar == '0')
    {
      Serial.println("Hello");
    }
  }
}