The Power is the main challenging factor in very large scale integrated circuits. Transpose form fir filters produce better results compared to the direct form FIR filters for reconfigurable applications. In the existing method, the possibility of realization of FIR filter in transpose form configuration Using Common Sub expression Elimination was explored.. This paper explains comparison of two different architectures for low complexity FIR filters namely Constant shift method (CSM), programmable shift methods (PSM) and vertical-horizontal binary common sub-expression elimination (VHBCSE). The FIR filters can efficiently implemented by using constant multiplier architecture based on vertical-horizontal binary common sub-expression elimination (VHBCSE) instead of common sub-expression elimination (CSE). This technique is capable of reducing the average probability of using the switching activity of the multiplier block adders compared to that of existing algorithm i.e., Binary Common sub-expression elimination (BCSE) algorithm. The filter architecture is capable of operating for word length filter coefficient without any overhead in the hardware circuitry. This VHBCSE produce the better power results. Keywords: Constant shift method (CSM), Programmable shift method (PSM), Vertical-Horizontal Binary Common Sub-expression Elimination (VHBCSE), and Binary common sub-expression elimination (BCSE.) I. INTRODUCTION FINITE-IMPULSE response (FIR) digital filter plays an important role in digital signal processing applications, such as speech processing, loud speaker equalization, echo cancellation, adaptive noise cancellation, and various communication applications, including software-defined radio (SDR) and so on. These applications require FIR filters of large order to meet the frequency specifications. These filters need to support high sampling rate for very high-speed digital communication. The number of multiplications and additions required for each filter output, increases linearly with the filter order. Since there is no redundant computation available in the FIR filter algorithm, real-time implementation of a large order FIR filter in a resource contained environment is daunting and challenging task.