2 basic computer questions

Question

Question 1:

Where exactly does the internal register and internal cache exist? I understand that when a program is loaded into main memory it contains a text section, a stack, a heap and so on. However is the register located in a fixed area of main memory, or is it physically on the CPU and doesn't reside in main memory? Does this apply to the cache as well?

Questions 2:

How exactly does a device controller use direct memory access without using the CPU to schedule/move datum between the local buffer and main memory?

Answer 1

Basic answer:

1. The CPU registers are directly on the CPU. The L1, L2, and L3 caches are often on-chip; however, they may be shared between multiple cores or processors, so they're not always "physically on the CPU." However, they're never part of main memory either. The general principle is that the closer memory is to the CPU, the faster and more expensive (and thus smaller) it is. Every item in the cache has a particular main memory address associated with it (however, the same slot can be associated with different addresses at different times). However, there is no direct association between registers and main memory. That is why if you use the register keyword in C (not that it's often necessary, since the compiler is usually a better optimizer), you can not use the & operator.
2. The DMA controller executes the transfer directly. The CPU watches the bus so it knows when changes are made "behind its back", which invalidate its cache(s).