Very Large Scale Integration (VLSI) incorporates the Fixed and Floating point DSP Processors RISC based DSP Processor, ASIC based DSP processors, Computerized control frameworks, Broadcast communications, Discourse and Sound preparing for audiology and DSP Applications. The most recent investigation into about in VLSI is the design and application of the DSP frameworks, which is the basis for further applications. The elemental computation in DSP Frameworks is convolution. Convolution and LTI frameworks are the heart and soul of DSP. In this paper, the objective is to evaluate the performance of linear aand circular convolution using existing modified booth multiplication, also proposed a conversion of linear to circular conversion. The behavior of Linear Time Invariant (LTI) frameworks in nonstop time is depicted by Convolution indispensably while the behavior in discrete-time is depicted by Straight convolution. The results are evaluated using Verilog HDL is executed to confirm the performance parameters. The outcomes acquired utilizing Xilinx Simulation and Synthesis uncovers the usefulness of modified booth multiplications in developing the convolution tehniques.