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Kilomegacycle computers will be achieved only partly by high-speed components, memories, and logics. For some time to come, speed will be derived substantially from system organization. In the final analysis, memory speed will become of primary importance in obtainable system size, and cost will prevent very large high-speed memories from matching kilomegacycle logic. This leads to consideration of hierarchies of memory. A systems basis for utilizing hierarchical memories, giving the effect of homogeneous memory systems, is presented.