A sorting machine has bins which are shifted sequentially past a sheet entry location between positions at opposite sides of the sheet entry location, to provide a relatively wide sheet receiving space between adjacent bins at the entry location. The bins have their outer ends pivotally mounted in a frame structure spaced from the sheet entry location, so that the bins slope forwardly. Shifting of the bins is accomplished by a reversible motor driven rotor located at one side of the bins and having recesses to receive trunnions at one side of the bins on each one-half revolution to shift a bin in one direction or the other. The other side of the bin group is unobstructed.