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Abstract-Computation of real numbers has been a challenging task for many years. Because of its unique nature of infinity, it is considered as a very good area of research. This paper tries to convey the nature of the real numbers and the difficulty to compute them i.e. to approximate the value and some respective development processes related to the real numbers. While making a general calculation the approximation can go on and on, this still doesn't give the exact value. Computer system's memory is finite. Goal is to approximate the real numbers but the problem arises where to stop and which basis they are subjected for approximation on.

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