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Fish lacks carbs and provides omega-3 fatty acids. You have a lot of zero-carb foods to choose from on a low-carb diet. All of the major proteins -- meat, poultry and fish -- are naturally free of carbs and sugar. A variety of oils, vinegars and seasonings are also on the carb-free list. But there are some exceptions.
Quick Answer. A no-carb, no-sugar diet plan is one that prohibits the consumption of all carbohydrates, including sugar. A more common diet allows some carbohydrates each day, but the amount is drastically less than what the average person consumes. Continue Reading.