Long time since I've done Assembly programming, but this link might be useful...
The processor has a collection of registers which are used to store data. Some of these are direct values while others are pointing to an area within RAM. Registers do tend to be used for certain specific actions and every operand in assembly will require a certain amount of data in specific registers.
The stack pointer is mostly used when you're calling other procedures. With modern compilers, a bunch of data will be dumped first on the stack, followed by the return address so the system will know where to return once it's told to return. The stack pointer will point at the next location where new data can be pushed to the stack, where it will stay until it's popped back again.
Base registers or segment registers just point to the address space of a large amount of data. Combined with a second regiser, the Base pointer will divide the memory in huge blocks while the second register will point at an item within this block. Base pointers therefor point to the base of blocks of data.
Do keep in mind that Assembly is very CPU specific. The page I've linked to provides information about different types of CPU's.