Devonte Boykins' 3-pointer with six seconds left reduced North Carolina A&T's deficit to 88-85 before Rogers' dunk at the buzzer ended the game.
Ian Kinard made 1 of 2 free throws and South Carolina State led 87-77 with 22 seconds left.
Raymon Pratt made it a seven-point contest with a 3-point play with 12 seconds remaining before Kinard fouled him to send Pratt back to the foul line and he made both. Rogers made 1 of 2 free throws for an 88-82 lead before Boykins' 3.
South Carolina State (9-17, 5-6 Mid-Eastern Athletic Conference) got 13 points from Janai Rayner-Powell and 11 from James Richardson. South Carolina State led by double figures most of the second half.
Davaris McGowens led North Carolina A&T (15-10, 8-2) with 26 points and Boykins scored 13.
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|North Carolina A&T||13-3||1||19-13|
|North Carolina Central||10-6||4||18-16|
|South Carolina State||5-11||9||8-26|