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Minterms are called products because they are the logical AND of a set of variables, and maxterms are called sums because they are the logical OR of a set of variables further definition salodki flirting in the sections headed Minterms and Maxterms below.
The sum of any number and 0 is the original number itself. If we wish to verify this: On the very first step, you applied the conversion: I am looking for solved problems under Boolean Algebra From Youtube Boolean algebra 2: Or see what 1 OR 0 yields.
Or look at this logically. In the algebra of logic, propositions can be combined to give new propositions.
This is perhaps the most difficult concept for new students to master in Boolean simplification: To this end, there are several rules of Boolean algebra presented in this section for use in reducing expressions to their simplest forms.
Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator. And, the corresponding proof: Now see what is the output of the OR operation between 0 and its opposite, i.
The next rule looks similar to the first one shown in this section, but is actually quite different and requires a more clever proof: Principles of Boolean Algebra: Algebra of logic was developed by George Boole and therefore was named Boolean algebra.