Article | REF: E180 V1

Logic operators - Foundations

Author: Daniel ETIEMBLE

Publication date: November 10, 2004, Review date: July 13, 2023

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2. Synthesis of combinatorial functions

Combinatorial function synthesis involves taking a truth table or Boolean expression and specifying the hardware operators needed to implement the corresponding table or expression. There are three main methods of synthesizing combinatorial functions, corresponding to the level of complexity of the logic operators used as building blocks.

2.1 Anarchic" logic

The so-called "anarchic logic" consists of "implementing" the Boolean function using a minimal set of basic gates: AND, OR, inverters, or NAND or NOR... This method was developed in the era of low- and medium-scale logic circuits (SSI Small Scale Integration and MSI Medium Scale Integration).

We begin by simplifying the complete expression deduced from the normal disjunctive form to...

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Synthesis of combinatorial functions