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The overall objective of this book is to describe the Design, Simulate and Observe The hardware implementation of a multi stage low-pass sigma delta modulator. The objective of this book is shown first by describing a low-pass multistage for D/A Sigma Delta modulator. The next step involves a detailed evaluation of various accumulator based mash structures which is then modelled in MATLAB AND SIMULINK with the measurement of their characteristics and their non-idealties such as SNR ratio were calculated. The Final part of the report is to carefully evaluate the selected prototype of any cascaded stage say 1-1 MASH (multi stage noise shaping structure) under FPGA, The major application of Sigma Delta modulators is found to be in N-PLL frequency synthesizers, using error feed back topology sigma delta modulator, which eliminates the limit cycles oscillations and tones [4], the designing of such an accumulator in FPGA has been shown as the final or secondary goal for this report.