This paper presents a Radix-2 memory-based FFT Processors, namely, MBFFTP, with a memory size of N words for large N complex points, where each word contains 24 bits. The developed MBFFTP meets DVB-T standard and can handle both 2K and 8K modes in the same architecture. The processors have been designed and implemented in TSMC 0.18?m 1P6M process. Results show that simple MBFFTP achieves a maximum work frequency of 173MHz, where its core chip area is approximately 1.80 mm2 with a core power consumption of 40.80 mW at 55 MHz for 2K mode and 48.16 mW at 65 MHz for 8K mode.