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Compilers is often considered a capstone course for computer science majors. There is a good reason for that–compilers are tools that programmers use in their day-to-day work regardless of the application domain. Moreover, implementing a compiler touches nearly every topic of computer science ranging from the theoretical to the practical. Thus, learning more about how a compiler works makes you a more informed programmer.
That said, it might not seem like writing a compiler would be directly related to the typical kinds of programming you’d do at work. This is probably true. However, writing a compiler is really an exercise in managing software complexity. Compilers have a lot of moving parts, are difficult to test, and challenging to debug. Thus, compilers a great playground for studying problems that confront all sorts of real-world software projects.
A true story: I once had a former student stop by my office to tell me how he helped save a major coding disaster involving health insurance. I asked “how’d you do that?” He said, “I used something I learned while writing a compiler.”

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