Add the grated ginger, 2 tbsp sugar and the water into a lidded jar, and mix with an wooden spoon to combine.
Loosely lid the jar and keep it at room temperature.
Every day, for the next 4-5 days, feed the mix with 1 tbsp sugar and 1 tsp grated ginger, and use the wooden spoon to give it a stir.
In the 4th or 5th day, the cultured mix should be ready and bubbly on top. It may turn opaque, this is ok. It might develop a white mold layer, this is ok too - you simply remove it before using. White mold is ok, pink or black mold means you should start the fermentation process again.
Use 1/2 cup of the mix for the ginger bug and keep the rest in the refrigerator (feed it once a week with sugar and ginger to keep it alive).