 The Fractional Order Hyperchaotic Lorentz system was solved using the Adomian Decomposition Method, ADM. Lyapunov characteristic exponents, ACEs, were calculated from the resulting discrete map, allowing us to analyze the system's behavior. We found that the system exhibited rich dynamics, with chaos and hyper-chaos being generated by decreasing the fractional order queue. Additionally, we used entropy and complexity algorithms to determine the optimal fractional order queue for practical applications. A DSP implementation of the system was created, along with a pseudo-random bit generator, PRBG, based on it. The PRBG passed the NIST test with flying colors. This article was authored by Xiaobahi, Kahuei Sun, and Huihai Wang.