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This paper explores the design approach of a low power Hybrid Encoded Booth Multiplier (HEBM) with Reduced Switching Activity Technique (RSAT) and low power 0.13μm adder for DSP functions that encounter a wide diversity of operating scenarios in battery powered low power wireless sensor network system. This RSAT approach has been applied on the hybrid encoder of the multiplier to reduce the power consumption. The hybrid encoder in the low power multiplier uses both the Booth and proposed technique. If the number of 1's less than or equal to three the proposed encoding technique used otherwise go for Booth technique. The proposed adder cell used in the multiplier block consumes less power than the other previous adder techniques. The switching activity of the proposed multiplier has been reduced by 86% and 46% compared with conventional and Booth multiplier respectively. It is observed from the device level simulation using TANNER 12.6 EDA that the power consumption of the proposed multiplier has been reduced by 87% and 26% compared with conventional and Booth multiplier.