How are individual bits controlled inside of a CPU?

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I know there are transistors to represent 1 and 0 (on and off), and I know that assembly is the lowest human-readable level you can get to telling the CPU exactly what to do. Any and all processes between that are an enigma to me, and I would love to know how it works.

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* 1 and 0 are actually represented by some electric charge stored in something called a register.
* Transistors are the basic building blocks of the components of many computer systems for things including memory registers.
* Transistors can be cleverly arranged to change the voltage they output based on the voltage they receive as input.
* These clever arrangements are called logic gates and have names like AND, OR, NOT, NAND, etc.
* Clever arrangements of *those* allow you to build things like a memory register or a simple device that adds or subtracts two numbers.
* Clever arrangements of *those* allow you to build a CPU etc.
* So as you can see, computers a build on layers and layers of technology that all share a basic trait.
* You take some input, and based on that input, you send some output.

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