the six gates | CSCE101

NOT (rule)

NOT (rule)

opposite of single input

AND (rule)

if all inputs are 1, output 1

NAND (rule)

if all inputs are 1, output 0

OR (rule)

if all inputs are 0, output 0

NOR (rule)

if all inputs are 0, output 1

XOR (rule)

output 0 if inputs are the same

NOT (symbol)

AND (symbol)

NAND (symbol)

OR (symbol)

NOR (symbol)

XOR (symbol)

NOT (formula)

X = A'

AND (formula)

X = A • B

OR (formula)

X = A + B

XOR (formula)

X = A ⊕ B

NAND (formula)

X = (A • B)'

NOR (formula)

X = (A + B)'