Question

hat 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

The right choice is D) [-10, 9, 9]. Insights:

Taking alternative 'D' contribution to the sigmoid hub = −10 ∗ 1 + 9 ∗ x1 + 9 ∗ x2 = 9 x1 + 9 x2 −10.

Just for this situation yield equivalent to 1 if x1 and x2 both equivalent to 1.

Answer 2

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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