Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

Binary Arithmetics


Takaya Nishiyama
Shinshu University, Information Engineering Dept., Nagano
Yasuho Mizuhara
Shinshu University, Information Engineering Dept., Nagano

Summary.

Formalizes the basic concepts of binary arithmetic and its related operations. We present the definitions for the following logical operators: 'or' and 'xor' (exclusive or) and include in this article some theorems concerning these operators. We also introduce the concept of an $n$-bit register. Such registers are used in the definition of binary unsigned arithmetic presented in this article. Theorems on the relationships of such concepts to the operations of natural numbers are also given.

MML Identifier: BINARITH

The terminology and notation used in this paper have been introduced in the following articles [14] [9] [17] [2] [3] [15] [1] [19] [18] [7] [8] [6] [4] [13] [12] [10] [5] [11] [16]

Contents (PDF format)

Acknowledgments

Many thanks to Professor Andrzej Trybulec for making this article a success. We really enjoyed working with you...ARIGATOU GOZAIMASHITA.

Bibliography

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Received October 8, 1993


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