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I see a common but unfortunate mistake. Do not arbitrarily equate a low or high voltage with true (1) or false (0)! There are two different logic conventions: positive and negative. For example the 74x00 family data sheet states that this is a Quad Two Input Positive Logic NAND gate. This also means that it can be described as a Quad Two Input Negative Logic NOR gate. In positive logic a high is true (1) and a low is false (0). In negative logic a high is a false (0) and a low is true (1).BS Computer Science
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