2. Obtain the product of sums canonical form of the following formula i)(P^Q^R)V (¬P^Q^R)V(¬P^¬Q^¬R)
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Truth table
P Q R F
0 0 0 1
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
Sum of product corresponding entry 1 of output column ,in the boolean function given in a truth table is
F=(P^Q^R) V(~p^Q^R)V(~P^~Q^~R)
Product of sum corresponding entry 0 of the output column ,boolean function given in truth table is
F=(P+Q+ ~R)(P+~Q+R)(~P+Q+R)
(~P+Q+~R)(~P+~Q+R)