Neural Networks

#1

Sir, for question no. 3 in quiz I got -1.36 value for z but in options there is +1.36
and how to solve question no. 4?

#2

Hey @manishasingla67, yes you are right answer is -1.36 only, informed the backend team will be updated soon. Also for forth question, boolean function works like
z = 1 if ( weight^T * x + b) >=0
z = 0 if (weight^T *x + b)<0

Now first consider what function perceptron c is representing,
A B C ( let x = -1 *1 + 1.5 * A + 1.5 *B, c=0 when x<0 and c=1 when x>=0)
0 0 0 ( = -1 which is <0)
0 1 1 ( = 0.5 which is >=0)
1 0 1 ( = 0.5 which is >=0)
1 1 1 (= 2 which is >=0)

From the truth table you can see that, it represents C = ( A or B)

Now similary looking for Y
C D Y ( let x = -1.5 *1 + 1 * A + 1 *B, y=0 when x<0 and y=1 when x>=0)
0 0 0 ( = -1.5 which is <0)
0 1 0 ( = -0.5 which is <0)
1 0 0 ( = -0.5 which is <0)
1 1 1 (= 0.5 which is >=0)

From this truth table you can see, that Y = C And D
Now putthing C = A or B
Final funcitonl y = (A or B) and D

Hope this resolved your doubt.
Plz mark the doubt as resolved in my douts section. :blush: