GATE 2024 Digital logic Foundation Quiz 71

Consider W, Y, A and B be the Boolean variable and $ operator defined as A $ B = A̅ + B where Y = W̅ $ A̅ and W = A+ B̅. Find Y?

The maximum number of Boolean expressions that can be formed for the function f(x, y, z) satisfying the relation is _________.

Consider an n-variable Boolean function f (A, B, C...). If the Boolean function is represented as  then the alternative representation of the above function can be given as?

In the logic circuit shown below the redundant gate is __________

Consider the following statement

(1) In self-dual functions the number of min-term is equal to the number of max-term.

(2) Using n-Boolean variables, the number of self-dual functions possible is

(3) Using n-Boolean variables, the number of Boolean functions can be possible is

The number of incorrect statement is ____________.