Gates: XNOR

XNOR gate: implements XNOR (negated exclusive-OR) function

Input: 2 bits

Output: 1 bit

Truth table:

Symbol:

Input

Output

x0

x1

z

0

0

1

0

1

0

1

0

0

1

1

1

z = x0 XNOR x1 = ~(x0 ^ x1)

Properties:

symmetric:

x XNOR y = y XNOR x

associative:

(x XNOR y) XNOR z = x XNOR (y XNOR z)

n inputs:

XNORn (x0, x1, . . . , xn) = x0 XNOR x1 XNOR . . . xn