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Construct the switching circuit for each...

Construct the switching circuit for each of the following statements :
(1) `(p^^q)vv(~p)vv(p^^~q)`
(2) `(p^^q^^r)vv[~pvv(^^~r)]`
(3) `[pvv(~p^^q)]vv[(~q^^r)vv~p]`

Text Solution

Verified by Experts

Let p : the switch `S_(1)` is closed
q : the switch `S_(2)` is closed
r : the switch `S_(3)` is closed
`~p` : the switch `S_(1)` is closed or the switch `S_(1)` is open
`~q` : the switch `S_(2)'` is closed or the switch `S_(2)` is open
`~r` : the switch `S_(3)'` is closed or the switch `S_(3)` is open.
Then the switching circuits for the given statements are :
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