A conveyor and a method for depalletizing and singulating packages. The conveyor comprises, in one version, a set-down conveyor on which pallet layers are deposited and conveyed, a row-separation conveyor that separates the pallet layer into spaced rows, a row-extraction conveyor that extracts a leading row of packages from the trailing rows and conveys the packages of the extracted row in a transverse direction, and a singulating conveyor that arranges the articles in a single file. The conveyor system operates by first pulling a gap in the leading row of a pallet layer when the packages cross into the row-separation conveyor. Then the row is extracted from the other rows on the row-extraction conveyor. Finally, as the packages travel on and along the singulating conveyor, they are aligned to the conveyor's outer edge and rotated, if necessary, to be properly singulated.