1. The largest term and smallest term
- The concept of minimal terms
In an n-variable logic function, if m is a product term containing n factors (including all variables) , and these n variables appear in m once in the form of original or inverse variables , then m is the group of variables The smallest item. n variable function has 2^n smallest items
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The number of the smallest item (three variables as an example)
must have a smallest item under any value of the input variable, and only one smallest item has a value of 1.
The sum of all smallest items is 1. -
The concept of the largest term
In an n-variable logic function, if M is the sum of n variables, and these n variables appear in M once in the form of the original variable or the inverse variable , then M is the largest term of the group of variables .
In the number of the largest term, the original variable is 0 and the inverse variable is 1.
There must be and only one maximum term is 0 under any value of the input variable.
The product of all the largest terms of the variable function is 0. The sum of
any two largest terms Is 1
2. Standard form of logic function
- The minimum sum of terms (sum of products)
uses the formula: A + A is not = 1
Principle: add whatever is missing for each item - The product form of the largest term (product of sum)
uses the formula: A·Anot = 0
- The relationship between the largest item and the smallest item The items with the
same number are reversed:
