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Even though hardware accelerators are common in very large scale integration (VLSI) computer-aided design (CAD), fault simulation is a notable exception because of limited availability of memory, the need for dynamic memory management and the complexity of the algorithms themselves. Although simplified fault simulation algorithms that assume a zero delay circuit model can be accelerated, their applicability is limited. Most application specific integrated circuits (ASIC's) designed in industry today have on-chip memory blocks of different dimensions and characteristics, enhancing the complexity of a fault simulator. In this paper, we present a multiple delay algorithm for concurrent fault simulation of logic gates and functional memory blocks. This algorithm has been implemented on the microprogrammable accelerator for rapid simulation (MARS) hardware accelerator system with a 22 MHz clock and a capacity to simulate circuits with millions of devices. Speedup factors of 20 to 30 are easily achieved when compared to software simulators running on comparable hardware platforms and using identical circuit models.