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  4. The diagram shows a logic network. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/3cfa826d43d408d4e625584313db3b14-.png /> Which single gate is equivalent to the network?

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Q. The diagram shows a logic network.
image
Which single gate is equivalent to the network?

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

$y =(\overline{A.B}).(\bar{A}. \bar{B})$
$=(\bar{A}+\bar{B}).(\bar{\bar{A}}+\bar{\bar{B}})$
$=(\bar{A}+\bar{B}) .(A+B)$
$=\bar{A}. B+A . \bar{B}$
The network can be represented by a single EX-OR gate.