What is X+YZ(whole compliment) Note this question is for only computer students.and YZ only have compliment.
Answers
Answer:
A function is said to be Self dual if and only if its dual is equivalent to the given function, i.e., if a given function is f(X, Y, Z) = (XY + YZ + ZX) then its dual is, fd(X, Y, Z) = (X + Y).(Y + Z).(Z + X) (fd = dual of the given function) = (XY + YZ + ZX), it is equivalent to the given function. So function is self dual.
In a dual function:
AND operator of a given function is changed to OR operator and vice-versa.
A constant 1 (or true) of a given function is changed to a constant 0 (or false) and vice-versa.
A Switching function or Boolean function is said to be Self dual if :
The given function is neutral i.e., (number of min terms is equal to the number of max terms).For more about min term and max term (see Canonical and standard Form).
The function does not contain two mutually exclusive terms.
Note: Mutually exclusive term of XYZ is (X’Y’Z’) i.e, compliment of XYZ. So, two mutually exclusive terms are compliment of each other.
Answer:
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