OR operation represents addition, AND operation represents multiplication. NOR is opposite of OR operation. it is NOT OR that is complement of OR operation. similarly NAND operation is opposite of AND operation. it is NOT AND that is complement of AND operation. EXOR is exclusive OR. it produces low output for similar input and high output for dissimilar input. likewise EXNOR is exclusive NOR gate produces high output for similar input and low output for dissimilar inputs.
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