Eli5: How do CNC machines convert digital images into real objects through mechanical movement?

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So an electric motor converts electricity into mechanical movement.. But how is Code and digital data converted into mechanical movement ?

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The code. G Code, is a set of instructions on how much a servo motor will move an axis. The GCode will have specific codes for the type of movement, and can interpolate multiple axis at the same time, X,Y,Z,A,B,C would be 5 Axis and is used on complex surfaces.
GCode is generated by describing movement on a digital surface, running that movement through a post processor suitable for the machine you are using.

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