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The inverter, which returns the reverse of the input. The AND gate which returns a high output if and only if both inputs are high. The OR gate, which returns a high output if either or both inputs are high. The NAND and NOR gates return the opposite of their counterparts. They are basically the AND and OR gates with an inverter after them. The XOR gate is the exclusive OR gate; it returns a high output it either input is high, but not both. Every binary combination of outputs can be made from these operators. In fact, you don't even need all of them. The NAND and the NOR gate can both create every other gate.

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