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How many neurons do you need in the hidden layer of a perceptron to learn any boolean function with 4 inputs? (Only one hidden layer is allowed) 16 64 56 32

Question

How many neurons do you need in the hidden layer of a perceptron to learn any boolean function with 4 inputs? (Only one hidden layer is allowed) 16 64 56 32

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Solution

You would need 16 neurons in the hidden layer of a perceptron to learn any boolean function with 4 inputs. Here's why:

  1. A boolean function with 4 inputs can have 2^4 = 16 different input combinations.
  2. Each neuron in the hidden layer can be thought of as learning to recognize a specific input combination.
  3. Therefore, to be able to recognize any possible input combination, you would need as many neurons as there are possible input combinations.
  4. Hence, you would need 16 neurons in the hidden layer.

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