Consider a single perceptron with sign activation function. The perceptron is represented by weight vector [0.4 −0.3 0.1]^{T} and a bias θ=0. If the input vector to the perceptron is X=[0.2 0.6 0.5] then the output of the perceptron is :
(1) 1
(2) 0
(3) −0.05
(4) −1
Ans: (3) -0.05
Explanation: Here it is given input vector X=[0.2 0.6 0.5] and weight vector W=[0.4 −0.3 0.1]^{T}
The output of the perceptron will be the summation of X and W represented as,
$\sum_{i}^{}$Xi Wi (i=1,2,3 because there are 3 values of X and W)
[0.2 0.6 0.5]*[0.4 −0.3 0.1]=[0.2*0.4 0.6*(-0.3) 0.5*0.1]=[0.08-0.18+0.05] = -0.05