Simplification of Boolean Algebra through DNA Computing

Simplification of Boolean Algebra through DNA Computing

DNA Computing utilizes the properties of DNA for performing the computations. The computations include arithmetic and logical operations such as simplification of Boolean expression to its simplest form. Boolean function can be built from ANDs, ORs, and NOTs using minterm expansion. However, a practicing computer engineer will very rarely be satisfied with a minterm expansion, because as a rule...

Pocket–pc Boolean Function Simplification

In this paper a useful educational tool is presented for minimizing low order Boolean expressions. The algorithm follows the Karnaugh map looping approach. For the implementation, which provides optimal results, C++ coding was used on the Embedded Visual C++ 3.0 Pocket PC using Windows CE Operating System environment. In order to make the overall implementation efficient, the object oriented ap...

A Simplification Method of Polymorphic Boolean Functions

Polymorphic circuits are a special kind of circuits which possess multiple build-in functions, and these functions are activated by environment parameters, like temperature, light and VDD. The behavior of a polymorphic circuit can be described by a polymorphic Boolean function. For the first time, this brief presents a simplification method of the polymorphic Boolean function.

Ternary Boolean Algebra

Boolean Algebra Approximations

Knight and Stob proved that every low4 Boolean algebra is 0-isomorphic to a computable one. Furthermore, for n = 1, 2, 3, 4, every lown Boolean algebra is 0-isomorphic to a computable one. We show that this is not true for n = 5: there is a low5 Boolean algebra that is not 0-isomorphic to any computable Boolean algebra. It is worth remarking that, because of the machinery developed, the proof u...