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Developer Builds 15 Logic Gates from Scratch Using Only NAND in Nand2Tetris

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A developer has shared progress on the Nand2Tetris course, successfully implementing 15 logic gates — including NOT, AND, OR, XOR, MUX, and DMUX variants — using only NAND gates and Hardware Description Language (HDL). The approach involved deriving boolean expressions from truth tables using Sum of Products, then simplifying them via De Morgan's law and double negation to express everything in terms of NAND. A key insight was that NAND(a, a) is equivalent to NOT(a), which made building subsequent gates feel intuitive and sequential. More complex gates like MUX4WAY16 and DMUX4WAY proved challenging due to unfamiliarity, but were completed by composing already-built simpler gates. The developer now plans to tackle the next chapter, which covers arithmetic components including a Half Adder, Full Adder, and ALU.

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Developer Builds 15 Logic Gates from Scratch Using Only NAND in Nand2Tetris · ShortSingh