Final answer:
The microprocessor is the component of the motherboard responsible for executing instructions and managing the computer's operations, acting as the computer's brain.
Step-by-step explanation:
The part of the motherboard that carries out the basic instructions that operate the PC is the microprocessor. The microprocessor is an integrated circuit crucial to the computer's functioning, as it processes data and performs calculations.
It's essentially the brain of the computer, executing instructions from programs and managing other components to carry out a wide variety of useful functions.