1 gram, per my converter, is 0.035 oz., which should be plenty small enough--my scale weighs in both metric and US units. If I want something finer than 0.1 oz., I weigh in grams and convert. I can't see how getting down to less than a gram would be helpful.
My bathroom scale, a Taylor digital model, weighs to the nearest 0.1 pound, which is finer than what I want to weigh myself --to the nearest pound is bad enough :-), but works well for weighing my pack after loading. It's interesting to see how close the total pack weight on my spreadsheet comes to the real total pack weight. One time I took everything out and repacked because the pack was a whole pound lighter than the spreadsheet, and I was sure that I must have missed something! After all that, I discovered that it was the food (for which my spreadsheet has the weight of an average meal) that was less than the average. It turned out that I still took too much food!