Solution without converting to string (which can be dangerous in case of exotic cultures):
static int GetNumberOfDigits(decimal d)
{
decimal abs = Math.Abs(d);
return abs < 1 ? 0 : (int)(Math.Log10(decimal.ToDouble(abs)) + 1);
}
Note, that this solution is valid for all decimal values
UPDATE
In fact this solution does not work with some big values, for example: 999999999999998, 999999999999999, 9999999999999939…
Obviously, the mathematical operations with double are not accurate enough for this task.
While searching wrong values I tend to use string-based alternatives proposed in this topic. As for me, that is the evidence that they are more reliable and easy-to-use (but be aware of cultures). Loop-based solutions can be faster though.
Thanks to commentators, shame on me, lesson to you.