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In this paper, we present a universal scheme for transforming an arbitraryalgorithm for biased 2-face coins to generate random bits from the generalsource of an m-sided die, hence enabling the application of existing algorithmsto general sources. In addition, we study approaches of efficiently generatinga prescribed number of random bits from an arbitrary biased coin. Thiscontrasts with most existing works, which typically assume that the number ofcoin tosses is fixed, and they generate a variable number of random bits.

A Universal Scheme for Transforming Binary Algorithms to Generate Random Bits from Loaded Dice