a system includes a fuel detection module , a misfire detection module , and a fuel control module . the fuel detection module detects when a fuel supplied to an engine having c cylinders has a high drivability index , where c is an integer greater than 1 . the misfire detection module detects whether m of the c cylinders misfire when the fuel has the hidi , where m is an integer , and 1 ≦ m & lt ; c . the fuel control module injects a first amount of the fuel into the m of the c cylinders when m is less than or equal to d , where d is an integer less than c , and where the first amount is greater than a first predetermined amount .