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The video presents a multiple-choice question from a GATE exam context, asking which Boolean operation on two variables can be represented by a single perceptron layer. The options are A) X1 AND X2, B) X1 OR X2, C) X1 NOR X2, and D) X1 XOR X2. The on-screen text highlights that the correct answer is C (X1 NOR X2), with option D (X1 XOR X2) being explicitly ruled out due to its non-linear separability, as explained by reference to Figure 3. The instructor emphasizes that XOR cannot be separated linearly and thus requires more than one perceptron layer, while AND, OR, and NOR can be represented by a single layer.

Chapters

  1. 0:00 – 0:20 00:00-00:20

    The video presents a multiple-choice question from a GATE exam context, asking which Boolean operation on two variables can be represented by a single perceptron layer. The options are A) X1 AND X2, B) X1 OR X2, C) X1 NOR X2, and D) X1 XOR X2. The on-screen text highlights that the correct answer is C (X1 NOR X2), with option D (X1 XOR X2) being explicitly ruled out due to its non-linear separability, as explained by reference to Figure 3. The instructor emphasizes that only linearly separable functions can be represented by a single perceptron layer, and the answer 'c' is displayed at the bottom of the screen to confirm the correct choice.

This segment answers student doubts about which Boolean functions are linearly separable and thus representable by a single perceptron layer. It clarifies that XOR is non-linearly separable and cannot be represented by a single perceptron, while AND, OR, and NOR can. The teaching progression moves from presenting the question to explaining the geometric reason (linear separability) behind the answer, using Figure 3 as a reference.