Let's go through the options to understand which is not a fermented food:
- Tofu (Option A): Tofu is made from soybeans through a coagulation process that does not involve fermentation. Tofu is produced by curdling soy milk using coagulants like magnesium chloride or calcium sulfate. Therefore, tofu is not a fermented food.
- Vinegar (Option B): Vinegar is a product of fermentation. It is produced by fermenting ethanol (from wine, beer, or other sources) with acetic acid bacteria, which convert the alcohol into acetic acid. Therefore, vinegar is a fermented food.
- Sauerkraut (Option C): Sauerkraut is made by fermenting cabbage with lactic acid bacteria. This is a classic example of a fermented food. The bacteria break down sugars in the cabbage, producing lactic acid that preserves the cabbage and gives it its characteristic sour taste.
- Tempeh (Option D): Tempeh is a fermented food made by fermenting cooked soybeans with the fungus Rhizopus oligosporus. It is a traditional Indonesian product and is a fermented food.
Thus, the food that is not fermented is Tofu.
Final Answer:
\[
\boxed{\text{(A) Tofu}}.
\]