This paper attempts to introduce the enhanced SHA-1 algorithm which features a simple quadratic function that will control the selection of primitive function and constant used per round of SHA-1. The message digest for this enhancement is designed for 512 hashed value that will answer the possible occurrence of hash collisions. Moreover, this features the architecture of 8 registers of A, B, C, D, E, F, G, and H which consists of 64 bits out of the total 512 bits. The testing of frequency for Q 15 and Q 0 will prove that the selection of primitive function and the constant used are not equally distributed. Implementation of extended bits for hash message will provide additional resources for dictionary attacks and the extension of its hash outputs will provide an extended time for providing a permutation of 512 hash bits.