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Abstract. Extensive shell-model calculations on several properties of all nuclei with Z = 2-9 and A = 4-30 have been performed, in order to investigate whether normal and exotic light nuclei can be treate in a unified description. Investigated are binding energies, excitation energies, magnetic dipole moments, radii and beta-decay lifetimes. In this paper we discuss the ground-state binding energies and magnetic moments of these nuclei. The discussion of other properties is restricted to the isotopes of He and Li. PACS: 21.60.Cs; 27.10. + h; 27.20. + n The shell-model approaches to light nuclei described in [2][3][4][5][6][7][8][9][10][11][12] have been applied to the non-exotic light nuclei, which step by step resulted in improved agreement between theory and experiment. The question we address here is: can exotic nuclei in principle be described equally well as the non-exotic nuclei with one uniform approach?In this paper we discuss the results for the groundstate binding energies and magnetic dipole moments of all Z = 2-9 exotic nuclei. The presentation of excitation energies and beta-decay lifetimes is restricted here to He and Li isotopes with A = 4-11. Moreover, we briefly adress one of the interesting features in this region, namely that of the relatively large radius of 11Li.