A single integrated circuit (IC) having one or more regions of mask-programmed device (MPD) logic for implementing permanent functions and one or more regions of field-programmable gate-array (FPGA) logic for implementing user-specified functions. The FPGA-type logic provides programming flexibility, while the MPD-type logic provides size, speed, functionality, and dollar cost advantages. In one embodiment, a hybrid IC has an array of programmable logic cells (PLCs) implemented using FPGA-type logic, an application-specific block (ASB) implemented using MPD-type logic, and a ring of pads. Fast interface switch hierarchy (FISH) cells provide the interface between the PLC array and the pads, between the PLC array and the ASB, and between the ASB and the pad ring. Muxes in the FISH cells can be programmed to cause the FISH cells to operate either (1) as programmable interface cells (PICs) that provide a direct interface between the PLC array and the pad ring or (2) as ASB-interface cells (AICs) that (a) provide interfaces between the PLC array and the ASB and (b) control interfaces between the ASB and the pad ring.