Question

By using single layer perceptron algorithm classify the following patterns. Where X1 and X2

are inputs Y is the output. Learning rate is 0.5 , output is 1 if weighted sum >=0.5 otherwise

0 and weights w1 =0.2 and w2 = 0.3 [5]

X1 X2 Y

0 0 0

0 1 1

1 0 1

1 1 1

Answer 1

For the linearly separable,

$w_1x_1+w_2x_2+\eta=0$

$\eta = 0.5$

$w_1=0.2$

$w_2=0.3$

$x_2= \frac{w_1}{w_2}x_1-\frac{\eta}{w_2}$

Now, substituting the values,

$x_2= \frac{-0.2}{0.3}x_1-\frac{0.5}{0.3}$