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Problem A$.4$

Show that the network illustrated in Fig. A$.4$ can be indicated for XOR operation with reference to two binary inputs $0$ or $1.$ The truth table for XOR operation is as follows:

$\backslash$table$[[$Set$,$Input,Output$],[$X$1,$X$2],[$I$,1,1,0],[$II$,1,0,1],[$III$,0,1,1],[$IV$,0,0,0]]$

Fig.A$.4$

$5$

$()\frac{A}{B}()\frac{A}{B}$

Solution Hint $...$ SET I data

Input: $[x_1,x_2]=[1,1],$ Bias: $x_o=+1$

Hidden neurons output:

net $A=(x_{0}1\mathrm{.}5)+(x_1-1)+(x_2-1)=-0\mathrm{.}50($after the if condition$)$ net $B=(x_{0}0\mathrm{.}5)+(x_1-1)+(x_2-1)=-1\mathrm{.}50($after the if condition$)$