A low power mapping algorithm for technology independent AND/XOR circuits is proposed.In this algorithm,the average power of the static mixed-polarity Reed-Muller(MPRM) circuits is minimized by generating a two-input gates circuit to optimize the switching active of nodes,and the power and area of MPRM circuits are estimated by using gates from a given library.On the basis of obtaining an optimal power MPRM circuit,the best mixed-polarity is found by combining an exhaustive searching method with polarity conversion algorithms. Our experiments over 18 benchmark circuits show that compared to the power optimization for fixed-polarity Reed-Muller circuits and AND/OR circuits,power saving is up to 44.22%) and 60.09%,and area saving is up to 14.13%and 32.72%,respectively.