1. What is the relationship between the processor speed and memory size?
In my opinion there is no relationship between these two, whereas there is a relationship between processor speed and memory speed. Furthermore, what memory are we talking here about? Processor caches, registers main memory or magnetivc storage?
As Jonas states, there really isn't any connection per se; however, the speed and size of several components within a system can contribute to general sluggishness of the system. For instance, the typical bottleneck of a system may be the system bus, or even the rate at which data can be read from the hard drive. By replacing the bottlenecked components you may achieve better performance. So, a similarity between the processor speed and memory size is that both can hinder a system. Data cannot be processed quickly, or the amount of data temporarily destined for RAM is so small that it requires several iterations of send-receive-execute-dump, that the entire pipeline suffers.
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