That’s really all there is to the logic of the adder itself. The next step is to chain the adders together for four bits. More bits are possible, but the code would get rather messy.
Other articles on binary adders on the site include this one which uses bigger relays, and this 2-bit adder which uses 555 timers.
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Logic adders are digital circuits that add binary numbers in either binary or binary coded decimal (BCD) format. These devices are typically used in arithmetic logic units (ALUs) and registers. There ...
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Hybrid adders are adders which use a combination of two or more of the previously described methods for addition. A common approach to the design of hybrid adders is to choose one method for carry ...
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