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The Sigma Delta Modulator (SDM) based analog to digital conversion is cost effective and have the advantages as higher reliability, increased functionality, and reduction in chip cost. The thesis work includes the modeling of SDM with the signal flow graph in Matlab, optimization of the coefficients to improve the noise transfer function and signal transfer function. A procedure to find the maximum stable input range for the design. Scaling the inputs of the integrator so that the maximum output signal can be obtained according to the operational transconductance amplifier (OTA) output range. Further we derived error bound for the design. Then step by step realization of the SDM form the signal flow graph (SFG) to a fully differential switched-capacitor (SC) network is shown. The work also includes complete differential transistor level realization for 3-bit flash analog to digital converter (ADC), thermometric to binary encoder, a switch- capacitor digital to analog converter (DAC) circuit and an on-chip circuit realization of the non-overlapping clock generation circuitry.