FPGA Implementation of 8x8 Truncated Multiplier
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The operation of multiplication is an often encountered need in the field of digital signal processing. Parallel multipliers provide a rapid approach for performing multiplication operations, while demanding a significant amount of space in VLSI (Very Large Scale Integration) implementations. In the majority of signal processing applications, there is a preference for using a rounded result in order to prevent an increase in the size of the word. Therefore, an important goal in the design process is to minimize the spatial demand of the rounded output multiplier. This study introduces a novel approach to parallel multiplication that efficiently calculates the products of two n-bit values by selectively summing the most important columns using a variable correction technique. This research furthermore includes a comparative analysis of the implementation of 8X8 conventional and truncated multipliers using Verilog Hardware Description Language (HDL) on Field Programmable Gate Arrays (FPGAs). The shortened multiplier demonstrates a much greater decrease in device consumption as compared to the regular multiplier. A conventional multiplier performs computations on n x n bits and produces a weighted sum of the output, consisting of 2n bits. In contrast, a truncated multiplier generates an output of just n bits from the n x n bit input. The use of logic gates in both internal and external hardware design will be decreased. Truncated multipliers provide a viable approach for achieving significant reductions in FPGA resources, latency, and power consumption compared to regular parallel multipliers, particularly in scenarios where the complete accuracy provided by the standard multiplier is unnecessary.