Boolean table

A B 0 !(A || B) !A && B !A A && !B !B A ^ B !(A && B) A && B A == B B !A || B A A || !B A || B 1
0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1
1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1
1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1
A B False
nor
neither
lt
¬A
not A
gt
¬B
not B
xor
ne
nand
and
both
conjunct.
A∧B
A•B
xnor
bicond.
eq
A≡B
B
A→B
A⊃B
le
cond.
A
B→A
B⊃A
ge
cond.
or
either
disjunct.
A∨B
A+B
True