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This paper represents the design and implementation of a low power 4-bit LFSR using Dual edge triggered flip flop. A linear feedback shift register (LFSR) is assembled by N number of flip flops connected in series and a combinational logic generally xor gate. An LFSR can generate random number sequence which acts as cipher in cryptography. A known text encrypted over long PN sequence, in order to improve security sequence made longer ie 128 bit; require long chain of flip flop leads to more power consumption. In this paper a novel circuit of random sequence generator using dual edge triggered flip flop has been proposed. Data has been generated on every edge of flip flop instead of single edge. A DETFF-LFSR can generate random number require with less number of clock cycle, it minimizes the number of flip flop result in power saving. In this paper we concentrates on the designing of power competent Test Pattern Generator (TPG) using four dual edge triggered flip-flops as the basic building block, overall there is reduction of power around 25% by using these techniques.