What are XAND and XOR? Also is there an XNot
The XAND Gate stands for "exclusive and" referring to its architecture as a logic gate wherein a positive output is only achieved if both inputs are equal. The XAND gate works synonymously as the XNOR gate, also called the equivalence gate.
“XOR” an abbreviation for “Exclusively-OR.” The simplest XOR gate is a two-input digital circuit that outputs a logical “1” if the two input values differ, i.e., its output is a logical “1” if either of its inputs are 1, but not at the same time (exclusively). The symbol and truth table for an XOR is shown in Figure 1.
xor is exclusive. or is inclusive. Note: the difference in the last case. xor is only true when either $x or $y is true, but not both (as the case for or ).
(eXclusive OR) A Boolean logic operation that is widely used in cryptography as well as in generating parity bits for error checking and fault tolerance. XOR compares two input bits and generates one output bit. The logic is simple. If the bits are the same, the result is 0. If the bits are different, the result is 1.
XOR
is short for exclusive or. It is a logical, binary operator that requires that one of the two operands be true but not both.
So these statements are true:
TRUE XOR FALSE
FALSE XOR TRUE
And these statements are false:
FALSE XOR FALSE
TRUE XOR TRUE
There really isn't such a thing as an"exclusive and" (or XAND
) since in theory it would have the same exact requirements as XOR
. There also isn't an XNOT
since NOT
is a unary operator that negates its single operand (basically it just flips a boolean value to its opposite) and as such it cannot support any notion of exclusivity.
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