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We report an approach for generating truly random digital numbers. This approach is based on probing the chaotic and unpredictable fluctuations that take place in a nematic liquid crystal when it is undergoing turbulent, electrically induced, convective flow. This technique generates a stream of numbers that passes standard benchmark tests for randomness. A device utilizing this technique is not only inexpensive to construct, but also tamper proof. We discuss various strategies for improving the operating characteristics, primarily the bit generation rate, of a device constructed on this principle. © 2002 American Institute of Physics.