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Implementation using NAND gates

#1
04-06-2025, 04:03 PM
You know NAND gates let you build anything in logic because they act universal. I see you trying to figure out how a simple NOT comes together first. You tie both inputs of one NAND to the same signal. Then the output flips whatever you feed in. I find that basic step opens up all the rest for you. It feels odd at first but it works every time.
You start with AND next by adding an extra NAND after the first one. I watch the signal go through two NAND stages and the result matches a plain AND. Or you flip the second stage to get OR behavior instead. Perhaps you connect the inputs differently to swap the function without extra parts. Now the circuit stays smaller because everything stays inside NAND pieces alone. I notice you gain speed this way since fewer gate types mean less wiring hassle.
But building an XOR takes more steps yet stays doable. You combine four NAND gates in a pattern that cancels the matching inputs. I show you the middle points where signals cross and cancel each other. Then the final output rises only on a true difference. Also you can extend that into a full adder by chaining several XOR blocks with carry logic made from more NANDs. Perhaps the carry path needs five or six gates total but it stays clean. I like how the whole thing avoids mixed gate families so manufacturing stays simple for you.
You move up to bigger structures like a multiplexer by layering these blocks. I see the select lines routing data through NAND trees that pick one path. Then the output settles on the chosen input without extra selectors. Or you scale it into an ALU slice where arithmetic and logic share the same NAND base. Now the design grows modular so you test one slice and repeat it across bits. It saves space on the chip and cuts power draw too. I find testing easier because faults show up in the same gate type everywhere.
You keep going and realize memory elements like latches form from cross coupled NAND pairs. I watch the feedback loop hold a state until the clock edge hits. Then the next value locks in without needing special flip flop cells. Perhaps you chain them into registers for data paths in a processor. Also the control signals stay NAND driven so the timing stays consistent. I notice the whole processor core can rest on NAND alone yet deliver full function.
You end up with complete systems built this way because the approach scales without limits. I see the layout tools handling the repeated cells fast. Then routing stays predictable since all gates match. Or you tweak transistor sizes inside each NAND to balance speed. Now the design flows smoother from schematic to silicon. It cuts down on library management for you during the project.
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ron74
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Implementation using NAND gates

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