Its hard to say as based on the classical low-fat/high-carb diet guidelines that have been popular for many years, being low carb 'in contrast' should be easily achievable. Basicaly its safe to say that unless you are doing high intensity workouts, your body can work quite nicely on zero carbs. If you are working out and you feel before the end of your workout that you have expended all of your energy, than yes, you will need some pre-workout carbs in your diet. In other cases you don't need any carbs but you might need some foods that come with carbs. The jury is still out over if you actually need dietary fibers but one thing that is sure, you need anti-oxidants and most of these come packaged with at least some carbs.
You should never just count grams of carbs, only percentages of calories or grams relative to the number of grams you take of other nutrients.
A gram of fat holds 9 calories, a gram of carbs or protein 4. The total amount of calories should be dependent on your fat free body mass and on your level of physical activity. Basically the low range of what should be considered achievable low carb would have you at most 25% of your caloric intake from carbs. You should probably try to aim for 30% to 40% of your caloric intake from protein, so this means you should get at least 35% of your calories from fat.
If you can bring your carb consumption further down than by all means do so, but use this as starting point and keep track of your FFBM, body strength and work out endurance. Make sure you keep getting sufficient antioxidants and monitor how your body is doing. As long as you get enough antioxidants and as long as your FFBM, strength and endurance don't suffer, keep reducing your carb intake and moving carbs to pre-workout consumption untill you find your personal sweet spot.