InterviewSolution
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Plz tell the answer for this questions. |
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Answer» tion:Dual of an EXPRESSION requires INTERCHANGING + with . . with +0 with 11 with 041. A + A'B = (A+A')(A+B) = 1.(A+B) = A+Bdual of A+B = ABcomplemlement of an expression E is E'. Before complementing simplify the expression.42. A'(BC'+BC) = A'B(C'+C) = A'B as C'+C = 1complemlement of the above expression= (A'B)' = (A')'+ B' = A+B'43. complement of AB'+C'D' = (AB'+C'D')' = (AB')'(C'D')' = (A'+B)(C+D)44. X'Y'+XY'Z = Y'(X'+XZ) = Y'(X'+X)(X'+Z) = Y'(X'+Z)complement of the above expression= (Y'(X'+Z))' = (Y')'+(X'+Z)' = Y+((X')'Z') = Y+XZ'45. XY+Y'Z+ZZ'=XY+Y'Z as ZZ'=0complement of the above expression= (XY+Y'Z)' = (XY)' (Y'Z)' = (X'+Y')(Y+Z')46. X+XY'+X'Z' = X(1+Y')+X'Z' = X+X'Z = (X+X')(X+Z) = 1(X+Z) = X+Z complement if the above expression = (X+Z)' = X'Z' |
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