Electronic Journal of Differential Equations, Vol. 2001(2001), No. 58, pp. 1-16. Title: Nonautonomous attractors of skew-product flows with digitized driving systems Authors: R. A. Johnson (Univ. di Firenze, Italy) P. E. Kloeden (Johann Wolfgang Goethe Univ., Frankfurt, Germany) Abstract: The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized. Submitted July 05, 2001. Published August 29, 2001. Math Subject Classifications: 34D35, 37B55. Key Words: pullback attractor; digitization; Bebutov flow.