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Previous Year Question (PYQs)

Which Boolean operation on two variables can be represented by a single perception layer?

I. X1 AND X2
II. X1 OR X2
III. X1 NOR X2
IV. X1 XOR X2

Choose the most appropriate answer from the options given below:





Solution

A single perceptron can represent only linearly separable Boolean functions.

Check each operation:

I. AND → linearly separable
II. OR → linearly separable
III. NOR → linearly separable
IV. XOR → not linearly separable

So, a single perceptron can represent:

I, II, and III only


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