How am I going to do this new scoring system? First of all I want everybody on track fighting for position. That means everybody is going to get points. And I want all of them fighting, so decided that one position is going to be twice worthy the following position. With just those simple rules, I have this scoring system, starting with 1 point to the winner:

First 1
Second 0.5
Third 0.25
Fourth 0.125

So that's where it gets the name binary.

The main drawback this system has is that uses fractional scores.. and numbers can get really small (1/219 for the 20th) being really anti-natural for normal people. An alternative would be to use 1 point for the last car and double it for each position up. This would generate integer scoring but the winner would end with a huge amount of points again. And, the score the winner would have would depend on the number of cars. With my score, it does not the depend off the number of cars behind.. only on the cars you had in front of you.

But it also have good things:

Everybody gets points because all their work must be rewarded. If you blow your engine on lap 1, I think it is fair that you get something more than the guy that got disqualified; and if you are able to drive your car till lap 20 before destroying your gearbox, you should get more than the guy that stopped at lap 1.


Another (good) side effect is that drivers get more or less sorted by the top results they have achieved: at the top we find the drivers that at least won on race, followed by the ones that have a 2nd as a top result.. and so on... This means that if you are a driver used to win, a tenth  result is not going to make a big difference (but still will do some)...


So, this is how I am going to do it: from the FIA report of each Grand Prix, taking into account all the non-disqualified cars, I am going to award them the points as the table n this page shows or, if you want it as a formula 1/2 (p-1) points where p is the finishing position in that report.


Disclaimer: Of course this is only a possible way to score the results.