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Building a Binary Adding Machine

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SomethingGoingOn

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Recently, I've been interested in the inner workings of a computer since I've been programming for last couple of years without really understanding what's going on "down there". I started reading 'CODE: The Hidden Language of Computer Hardware and Software' and so far I finished Chapter 12 (A Binary Adding Machine). Let me just tell you that I don't need help regarding the concepts presented in the book because I understand practically everything presented. I do however need help transferring these concepts into an actual machine. I know how to construct a 8-bit adding machine on the paper, but have no idea how would I go about doing it physically in real world since I don't know anything about electronics parts. Would you be kind enough to introduce me to the topic when it comes to building such things, how would i go about implementing a OR, AND, XOR, NAND gates in real world? Where can I obtain these parts? I have designed an adder which consists of half adder, and full adders which in turn consists of logic gates. All that is fairly cool sitting on a paper, but how would I go about doing it physically? Again, I don't know how logic gates look like physically but I understand their purpose and what they do when i see them on paper.

Thank you very much!
 

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