I use 2.25 strips for my binding and it's pretty close to the same width, though 2 may be closer, but you'd have to pull it pretty tight and precise. You figure when you sew it down folded, you sew 1/4 inch, then fold another 1/4 inch in front, then maybe a little less than 1/4 inch in folding over to the back and then 1/4 inch on the back. So that is a total of one inch, so you'd need a folded 2 inch strip. When I fold a 2.25 strip in half, I end up with a 1 and 1/8 strip which gives me a little fudge.
Hope that helps you with the math!
Rachel