Question

State the principle of Duality. Give the dual of the following: 

(A’.B) + (C. 1) = (A’ + C).(B + C)

Answer 1

According to the principle of Duality, “Dual of one expression is obtained by replacing AND (.) with OR (+) and OR with AND togather with replacement of 1 with 0 and 0 with 1.” 

Dual of (A’ . B) + (C.1) is given by (A’ + B). (C + 0) = (A’ + B). C 

Dual of (A’ + C). (B + C) is given by (A’.C) + (B.C) 

Then Dual of (A’ . B) + (C . 1) = (A’ + C) . (B + C) is (A’ + B). (C + 0) = (A’.C) + (B.C)