IGNOU MMTE 7 2026 - Consider the single layer perception given below:

Question

Consider the single layer perception given below:

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The activation function is:

$$\phi(v) = \begin{cases} 1; & v \ge 0 \\ 0; & v < 0 \end{cases}$
Obtain the output for each of the following input pattern:

Patterns	`p₁`	`p₂`	`p₃`	`p₄`
`x₁`	1	0	1	1
`x₂`	0	1	0	1
`x₃`	0	1	1	1

10 Jan 2026

Answer :

Word Count : 225

We compute the net input [ v = w_1 x_1 + w_2 x_2 + w_3 x_3 ] with weights [ w_1=2,\quad w_2=-4,\quad w_3=2 ] and activation function [ \phi(v)= \begin{cases} 1, & v \ge 0\ 0, & v < 0 \end{cases} ] ### Given input patterns | Pattern | (x_1) | (x_2) | (x_3) | | ------- | ----- | ----- | ----- | | P1 | 1

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