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Define Minterm and the Maxterm - Canonical Form?
Any Boolean expression perhaps expressed in terms of either minterms or maxterms. The literal is a single variable within a term which may or may not be complemented. For an expression with the N variables, minterms and maxterms are defined as follows:
A minterm is the product of the N distinct literals where each literal occurs exactly once.
A maxterm is the sum of the N distinct literals where each literal occurs exactly once.
For the two-variable expression, the maxterms and minterms are as follows
For a three-variable expression, the maxterms and minterms are as follows
Consider a function F= x'y'z+xy'z'+xyz=m1+m4+m7
If we take the complement of F then F'= (x+y+z')(x'+y+z)(x'+y'+z')=M1.M4.M7
Any Boolean function can be expressed as a product of Maxterms and Sum of Minterms.
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