Self Dual Functions in Boolean Algebra || Lesson 52 || Digital Electronics || Learning Monkey ||

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Here we will try to understand the Self Dual Functions in Boolean Algebra.

A function is said to be self-dual if it’s dual is equivalent to the given function.
f(x, y, z) = XY+YZ+ZX is a dual function.
Because if we find the dual the dual of the function can be simplified to the given function.
The switching function is said to be self-dual if:
1. The given function is a neutral function.
2. The function must not contain two mutually exclusive terms.

What is meant by mutually exclusive terms?
The term obtained by the complementing each value of term X is called as mutually exclusive terms.

The self-dual functions are closed under complementation.
This means the complement of a self-dual function is also a self-dual function.
The number of self-dual functions possible is 2^2^n-1

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