Question

What would be a correct option for weight W[W0,W1,W2],so that the following sigmoid unit will function as an AND gate?

Answer 1

Solution is [-10,9,9]

Hints: Taking input to the sigmoid node= −10∗1 + 9∗x1 + 9∗x2 = 9x1 + 9x2 −10

In this case output equal to 1 if x1 and x2 both equal to 1.

Answer 2

The question is incomplete.

However,

Sigmoid unit: The unit which determines the slope using an activation function and a threshold is referred to as a sigmoid unit.

For a sigmoid to function as an AND gate,

Condition:

The output should be equal to 1 if the inputs are equal to 1.

Solution:

Consider the weights to be [ -10, 9 , 9 ]

Then,

AND function,

−10 ∗ 1 + 9 ∗ x1 + 9 ∗ x2

9x1 + 9x2 − 10

If x1 and x2 are equal to 1, the output is also equal to 1.

Hence, [ -10, 9 , 9 ] is the answer.

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