What is the difference between computer architecture and computer organization?

The distinction between "computer architecture" and "computer organization" has become very fuzzy, if no completely confused or unusable. Computer architecture was essentially a contract with software stating unambiguously what the hardware does. The architecture was essentially a set of statements of the form "If you execute this instruction (or get an interrupt, etc.), then that is what happens. Computer organization, then, was a usually high-level description of the logic, memory, etc, used to implement that contract: These registers, those data paths, this connection to memory, etc. Programs written to run on a particular computer architecture should always run correctly on that architecture no matter what computer organization (implementation) is used. For example, both Intel and AMD processors have the same X86 architecture, but how the two companies implement that architecture (their computer organizations) is usually very different. The same programs run correctly on both, because the architecture is the same, but they may run at different speeds, because the organizations are different. Likewise, the many companies implementing MIPS, or ARM, or other processors are providing the same architecture - the same programs run correctly on all of them - but have very different high - level organizations inside them.

Computer architecture is a set of rules and methods that describe the functionality, organization, and implementation of computer systems while  computer organization refers to the level of abstraction, above the logic level, but below the operating system level. 

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The network card in the computer