Derivation of Boolean Expression

The Boolean expression consists of a variable or a collection of variables or their complements. These variables are also called literals. They are used to represent the Boolean values, which are represented in the form of 0’s and 1’s. A Boolean expression can be represented in two forms: maxterm and minterm. Minterm is the product of all literals (with or without bar) within the logical system. Maxterm is the sum of all the literals (with or without the bar) within the logic system. A Boolean expression that is entirely made by the composition of either of minterms (SOP) or maxterms (POS) is referred to as canonical form. Canonical expressions can be represented in the following two forms: Sum-of-products (S-O-P) form and Product-of-sums ( P-O-S) form.

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