I'm curious. I know the basic gates are AND, NAND, OR, NOR, XOR, & XNOR. Is there such thing as XANDs & XNANDs gates? If not, why?

 

Hi Nanobyte,

Think about an exclusive OR function. It's true if one, and only one input is true. Now think of an AND gate. It's true if and only if both inputs are true. Both inputs have to be present, whereas an exclusive gate demands only one. The OR function is the only one in which an exclusive determination can be valid.