No not really, it's the brain.
CPU is the Central processing Unit which receives input via input devices like keyboard, mouse , scanner, mic etc. It's main job is to process the input and send to the relevant o/p device.
It controls the flow and process of instructions, in time with a clock pulse.
It needs to handle both input and output of binary data.
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microprocessor can be input device.... the output port can be given as input to other machine.
recall church-turing hypothesis... in that we give one turing machine as a input to other turing machine.. here, turing machine is abstracting of microprocessor