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Abstrak :
The subject of this book is the analysis and design of digital devices that implement computer arithmetic. The book's presentation of high-level detail, descriptions, formalisms and design principles means that it can support many research activities in this field, with an emphasis on bridging the gap between algorithm optimization and hardware implementation. The author provides a unified view linking the domains of digital design and arithmetic algorithms, based on original formalisms and hardware description languages. A feature of the book is the large number of examples and the implementation details provided.

Abstrak :
This is the first book to focus on the problem of ensuring the correctness of floating-point hardware designs through mathematical methods. Formal Verification of Floating-Point Hardware Design advances a verification methodology based on a unified theory of register-transfer logic and floating-point arithmetic that has been developed and applied to the formal verification of commercial floating-point units over the course of more than two decades, during which the author was employed by several major microprocessor design companies. The book consists of five parts, the first two of which present a rigorous exposition of the general theory based on the first principles of arithmetic. Part I covers bit vectors and the bit manipulation primitives, integer and fixed-point encodings, and bit-wise logical operations. Part II addresses the properties of floating-point numbers, the formats in which they are encoded as bit vectors, and the various modes of floating-point rounding. In Part III, the theory is extended to the analysis of several algorithms and optimization techniques that are commonly used in commercial implementations of elementary arithmetic operations. As a basis for the formal verification of such implementations, Part IV contains high-level specifications of correctness of the basic arithmetic instructions of several major industry-standard floating-point architectures, including all details pertaining to the handling of exceptional conditions. Part V illustrates the methodology, applying the preceding theory to the comprehensive verification of a state-of-the-art commercial floating-point unit. All of these results have been formalized in the logic of the ACL2 theorem prover and mechanically checked to ensure their correctness. They are presented here, however, in simple conventional mathematical notation. The book presupposes no familiarity with ACL2, logic design, or any mathematics beyond basic high school algebra. It will be of interest to verification engineers as well as arithmetic circuit designers who appreciate the value of a rigorous approach to their art, and is suitable as a graduate text in computer arithmetic.

Abstrak :
Logistic map adalah fungsi rekursif yang mememenuhi sifat chaos pada saat tertentu, sehingga dapat digunakan untuk sistem kriptografi. Sedangkan arithmetic coding adalah salah satu metode kompresi lossless compression yang berdasarkan statistik. Penggunaan logistic map akan dikombinasikan dengan arithmetic coding untuk sistem kriptografi citra digital. Skema yang akan digunakan adalah dengan permutasi, kompresi dan difusi sehingga menghasilkan tingkat keamanan yang lebih baik. Pada tugas akhir ini, akan dibahas tentang logistic map, fungsi chaos, arithmetic coding, implementasi algoritma enkripsi citra digital terkompresi arithmetic coding dengan menggunakan logistic map, dan analisa ketahanan sistem kriptografi tersebut dari berbagai jenis serangan. ...... Logistic map is a recursive function that qualify chaos criteria while meet certain condition, so can be used to construct a cryptograph system. Meanwhile arithmetic coding is one of lossless compression method that based on statistic approach. The use of logistic map will be combined with arithmetic coding to construct a cryptograph system. Scheme that will be used in this system are permutation, compression and diffusion, so that produce better security and privacy. In this thesis, topics that will be discussed are logistic map, chaos function, arithmetic coding, algoritm implementation of encypting the compressed image by arithmetic coding with logistic map, and the endurance analysis of this cryptograph system from several attack methods.