Final answer:
Pipelining is a feature of a CPU that allows it to begin fetching the next instruction before it has finished executing the current one.
Step-by-step explanation:
The feature of a CPU that allows it to begin fetching the next instruction before it has finished executing the current one is called pipelining. Pipelining is a technique where the CPU breaks down the execution of instructions into a series of smaller steps that can proceed simultaneously. Each step is called a pipeline stage and the CPU can start processing the next instruction in the pipeline while the previous instruction is still being executed.