The Itoh-Tsujii inversion algorithm forms a major contribution in finding the inverse in cryptographic applications such as Elliptic Curve Cryptography. In this paper, a new Hex Itoh-Tsujii inversion algorithm is proposed to compute the multiplicative inverse efficiently on Field-Programmable Gate-arrays (FPGA) platforms for binary fields generated by NIST recommended irreducible trinomials. The Hex Itoh Tsujii inversion Algorithm based proposed architecture is constructed with hex circuits and

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... quad addition chain. This combination improves the resource utilization. The experimental results shows that the proposed work has better Area-Time Performance compared with the existing implementation.