In this paper, we describe the first hardware design of a combined binary and decimal floating-point multiplier, based on specifications in the IEEE 754-2008 Floating-point Standard. The multiplier design operates on either (1) 64-bit binary encoded decimal floating-point (DFP) numbers or (2) 64-bit binary floating-point (BFP) numbers. It returns properly rounded results for the rounding modes specified in IEEE 754-2008. The design shares the following hardware resources between the two floating-point datatypes: a 54-bit by 54-bit binary multiplier, portions of the operand encoding/decoding, a 54-bit right shifter, exponent calculation logic, and rounding logic. Our synthesis results show that hardware sharing is feasible and has a reasonable impact on area, latency, and delay. The combined BFP and DFP multiplier occupies only 58% of the total area required by separate BFP and DFP units. Furthermore, the critical path delay of the combined multiplier has a negligible increase over that of a standalone DFP multiplier, without increasing the number of cycles to perform either BFP or DFP multiplication.