exclusive or

Key facts

Truth table

( 0110 ) {\displaystyle (0110)}

Disjunctive

x ¯ ⋅ y + x ⋅ y ¯ {\displaystyle {\overline {x}}\cdot y+x\cdot {\overline {y}}}

Conjunctive

( x ¯ + y ¯ ) ⋅ ( x + y ) {\displaystyle ({\overline {x}}+{\overline {y}})\cdot (x+y)}

Zhegalkin polynomial

x ⊕ y {\displaystyle x\oplus y}

0 preserving

yes

1 preserving

no

Monotone

no

Affine

yes

Self dual

no

via Wikipedia infobox