EAN: 9783031798115

SYNTHESIS LECTURES ON DIGITAL CIRCUITS & SYSTEM...

This book brings together five topics on the application of Boolean functions. They are 1.
Equivalence classes of Boolean functions: The number of n-variable functions is large  even for
values as small as n = 6  and there has been much research on classifying functions. There are
many classifications  each with their own distinct merit. 2. Boolean functions for
cryptography: The process of encrypting decrypting plaintext messages often depends on Boolean
functions with specific properties. For example  highly nonlinear functions are valued because
they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation
analogous to taking the derivative of a real-valued function offers important insight into the
properties of Boolean functions. One can determine tests or susceptibility to hazards. 4.
Reversible logic: Most logic functions are irreversible  it is impossible to reconstruct the
input  given the output. However  Boolean functions that are reversible are necessary for
quantum computing  and hold significant promise for low-power computing. 5. Data mining: The
process of extracting subtle patterns from enormous amounts of data has benefited from the use
of a graph-based representation of Boolean functions. This has use in surveillance  fraud
detection  scientific discovery including bio-informatics  genetics  medicine  and education.
Written by experts  these chapters present a tutorial view of new and emerging technologies in
Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions   Boolean
Functions for Cryptography   Boolean Differential Calculus   Synthesis of Boolean Functions in
Reversible Logic   Data Mining Using Binary Decision Diagrams

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