Digitization is the creation of digital signals from its analog originals. Considering a continuous signal as a function of time, the digitization of the time domain is known as samplingSampling, but the digitization of the co-domain is referred to as quantizationQuantization. Control laws developed for a continuous-time models require a digitization in order to be implemented in computer-based controllers. This chapter studies various issues related with digitization of homogeneous control algorithms. In particular, a consistent discretizationConsistent discretization (sampled-time implementation) of the implicit homogeneous control law is developed in such a way that the finite/fixed-time convergence rate of the original continuous-time system is preserved. Various issues of homogeneous control design with quantizationQuantization are discussed. FiniteFinite-time stabilization/fixed-time stabilizationFixed-time stabilization by means of a quantized homogeneous feedback is proven.