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What are XAND and XOR

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What are XAND and XOR? Also is there an XNot

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Arlen Beiler Avatar asked Apr 15 '10 15:04

Arlen Beiler


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What does XAND mean?

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.

What does XOR mean in logic?

“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.

What is the difference between XOR and OR gate?

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 ).

What is an XOR operation?

(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.


1 Answers

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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Andrew Hare Avatar answered Oct 07 '22 00:10

Andrew Hare