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We use the Haar function system in order to study the L_2 discrepancy of a class of digital (0,n,2)-nets. Our approach yields exact formulas for this quantity, which measures the irregularities of distribution of a set of points in the unit interval. We will obtain such formulas not only for the classical digital nets, but also for shifted and symmetrized versions thereof. The basic idea of our proofs is to calculate all Haar coefficents of the discrepancy function exactly and insert them intoarXiv:1711.06058v1 fatcat:6hjapaoccrgxjhzrj3v3unt32y