The point is that any of these are equivalent. Therefore, an XNOR gate is true only when the two inputs are the same. First is relay ladder logic, then logic gates, a truth table, a Karnaugh map, and a Boolean equation. The XNOR gate follows the same conventions as above, and acts like an XOR gate whose output is then fed into a NOT gate. For example, the two inputs '1' and '0' would produce a true ('1') output, but the two inputs '1' and '1' or '0' and '0' would produce a false ('0') output (this is conventionally named "exclusive or"). The XOR gate is true when the inputs are opposite of each other, but false when they are equal. Therefore, it is true only in the case where both inputs are zeroes (the only case that would have made an OR gate output a '0'). The NOR gate is essentially an OR gate whose output is then fed into a NOT gate. Therefore, it is true in all cases except for when both inputs are '1'. The NAND gate is essentially an AND gate whose output is then fed into a NOT gate. it will flip a '1' to a '0' and a '0' to a '1'). The NOT gate takes in one input and inverts that input (i.e. The OR gate takes two inputs and evaluates to true when either one of its inputs are true (or if both inputs are true - this is conventionally named "inclusive or"). outputs a '1') when both of its inputs are true, or false otherwise. The AND gate takes two inputs and evaluates to true (i.e. The logic gates include: AND, OR, NOT, NAND, NOR, XOR and XNOR. These gates are used in combinational and sequential circuit design. You have a multitude of different logic gates that operate within a computer.
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