Recognized XOR Gate

Not sure if this has been looked upon before but I would like it to be implemented so I can build other logic circuits with it.

For those of you who don't know, the XOR Gate (exclusive-or) is a gate that functions like an OR gate, except it works a bit differently.

Just like an OR gate, the output is low when all inputs are low and if at least one input is a high the output is high. However when all inputs are high, the output is low. A truth table with a two input XOR Gate is shown below.



I've made this logic gate already using AND gates and OR gates, but I have to use four or five gates just to make the logic function.

With it I believe we can expand our understanding of logic even more. I would like to see if this be added to logic if it could. I appreciate any thoughts you have.

I agree with MeRobo. It only takes two blocks to make any gate perform a NOT function.

I'm glad that people could find this useful though. I'm finally noticed by StarMade senpais~

Megacrafter127 said:

The only big problem with XOR [as pointed out here], is that there are multiple conflicting definitions for more than 2 inputs. All definitions of XOR match up for exactly 2 inputs, but don't for more than 2 inputs. A logic block in starmade has to work with any number of inputs.
I am not opposing the addition of XOR blocks, but pointing out, that there probably should be multiple XOR blocks, one for each reasonable conflicting definition.

Spoiler: Those being

Odd-parity gate
One-hot gate
Not Equal gate

Click to expand...

I see what you mean. It will obviously take time to make the code for the XOR Gate. Maybe we could start off by simply having two types of blocks: even-input and odd-input. It might make the whole concept of XOR gates simpler for programming.

Megacrafter127 said:

The programming part is trivial:

Spoiler: N=number of inputs; n=number of active inputs

Odd-parity gate: n%2!=0
One hot gate: n==1
Not equal gate: n%N!=0

In addition, the even parity gate is trivial, as it is the negated odd parity gate.

As for simply prefering one extendable definition over all others: The official definition of XOR only applies to 2 inputs, and is the truthtable in your OP. It cannot be applied to less or more inputs without modification. Most commonly XOR gates with 3 or more inputs act like odd parity gates, however, there is no general definition for it to be that way, so there are 3 or more input XOR gates that behave differently from odd parity gate. As a result prefering one extended definition will lead to people expecting different behaviours of 3+ input XOR gates.

Click to expand...

So say we had different XOR blocks as you proposed. Would that be considered the easiest solution?