A method for programming a non-volatile memory structure, wherein the method comprises initiating a two-dimensional fractional number of bits-per-cell programming scheme with respect to at least a first memory cell and a second memory cell of a plurality of memory cells of the memory structure, wherein the memory structure comprises: (1) a first memory array that comprises a first population of the plurality of memory cells and associated peripheral circuitry disposed below the first population of the plurality of memory cells, (2) a second memory array that is positioned above the first memory array and comprises a second population of the plurality of memory cells and the associated peripheral circuitry that is disposed above the second population of the plurality of memory cells, and (3) a data bus tap electrically coupling the first memory array and the second memory array.