Complementary transformation

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Complementary transformation [Copy link]

Transforming a logical function into its inverse function according to the following rules is called complementary transformation, also known as the inversion theorem . 　The rules of complementary transformation are:　　　the original variable becomes the inverse variable, and the inverse variable becomes the desired variable; 　　　the constant "0" becomes "1", and "1" becomes "0"; 　　　the operator "and" becomes "or", "or" becomes "and", "xor" becomes "xor", and "xor" becomes "xor"; 　　　2 or more variables are written without signs. 　　For example: 500)this.style.width=500;"> 500)this.style.width=500;" align=absMiddle> is the inverse function of F , and 500)this.style.width=500;" align=absMiddle> and F are inverse functions of each other .　　For a logical algebraic expression represented by an equation, if a complementary transformation is performed on both sides of the equation, the equation still holds. 　　The complementary transformation rule is a generalized Morgan's law, and its practical significance lies in that it can transform the form of a function. Using the complementary transformation rule and the non-non-law, different forms of function expressions and corresponding equivalent circuits can be derived. Designers choose appropriate circuits based on specific conditions.

　








　　　　

　　

　　The difference between the complementary transformation and the dual transformation is that the dual transformation keeps the form of the variables unchanged. If there are no variables in the equation, only constants, then the dual transformation is also a complementary transformation. For example, 500)this.style.width=500;">