Logic Circuit Design [electronic resource] : Selected Methods / by Shimon P. Vingron.
Contributor(s): SpringerLink (Online service).Material type: BookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012Description: XIV, 258 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642276576.Subject(s): Engineering | Logic design | Mathematics | Systems engineering | Engineering | Circuits and Systems | Logic Design | Electronic Circuits and Devices | Information and Communication, CircuitsDDC classification: 621.3815 Online resources: Click here to access online
Logic Variables, Logic Formulas, Karnaugh Maps, Reduced Karnaugh Maps -- Tautologies, Propositional Logic -- Canonical and Shegalkin Normal Forms, Minimising Logic Functions, Composition of Circuits -- Theory of Latches, Automata Models, Asynchronous Sequential Circuits, Verifying a Sequential Design.
In three main divisions the book covers combinational circuits, latches, and asynchronous sequential circuits. Combinational circuits have no memorising ability, while sequential circuits have such an ability to various degrees. Latches are the simplest sequential circuits, ones with the shortest memory. The presentation is decidedly non-standard. The design of combinational circuits is discussed in an orthodox manner using normal forms and in an unorthodox manner using set-theoretical evaluation formulas relying heavily on Karnaugh maps. The latter approach allows for a new design technique called composition. Latches are covered very extensively. Their memory functions are expressed mathematically in a time-independent manner allowing the use of (normal, non-temporal) Boolean logic in their calculation. The theory of latches is then used as the basis for calculating asynchronous circuits. Asynchronous circuits are specified in a tree-representation, each internal node of the tree representing an internal latch of the circuit, the latches specified by the tree itself. The tree specification allows solutions of formidable problems such as algorithmic state assignment, finding equivalent states non-recursively, and verifying asynchronous circuits.