1.

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]

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Solution :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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