Question

The neural network given below takes two binary valued inputs x1,x2 ϵ{0, 1} and the activation function is the binary threshold function (h(x)=l if x>0;O otherwise). Which of the following logical functions does it compute?


A) OR
B) AND
C) NAND
D) None of these

Answer 1

Answer is AND

for x1 = 0 , x2 =0  =>  x = -12  , -12 <0   hence h(x) = 0

for x1 = 0 , x2 =1  =>  x = -4  , -4 <0  hence h(x) = 0

for x1 = 1 , x2 =0  =>  x = -4  , -12 <0   hence h(x) = 0

for x1 = 1 , x2 =1  =>  x =  4  , 4 > 0   hence h(x) = 1