 The fractional order hyperchaotic Lorenz system was solved using the Adonian decomposition method, ADM. Lyapunov characteristic exponents, LCEs, 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 Q. Additionally, we used entropy and complexity algorithms to determine the optimal fractional order Q 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.