Journal of Formalized Mathematics
Volume 6, 1994
University of Bialystok
Copyright (c) 1994
Association of Mizar Users
Binary Arithmetics,
Addition and Subtraction of Integers

Yasuho Mizuhara

Shinshu University, Information Engineering Dept., Nagano

Takaya Nishiyama

Shinshu University, Information Engineering Dept., Nagano
Summary.

This article is a continuation of [6] and
presents the concepts of binary arithmetic operations for integers.
There is introduced 2's complement representation of integers and
natural numbers to integers are expanded.
The binary addition and subtraction
for integers are defined and theorems on the relationship between binary and
numerical operations presented.
The terminology and notation used in this paper have been
introduced in the following articles
[8]
[11]
[1]
[3]
[9]
[12]
[7]
[4]
[2]
[5]
[10]
[6]
Contents (PDF format)
Bibliography
 [1]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
A classical first order language.
Journal of Formalized Mathematics,
2, 1990.
 [5]
Czeslaw Bylinski.
Finite sequences and tuples of elements of a nonempty sets.
Journal of Formalized Mathematics,
2, 1990.
 [6]
Takaya Nishiyama and Yasuho Mizuhara.
Binary arithmetics.
Journal of Formalized Mathematics,
5, 1993.
 [7]
Konrad Raczkowski and Andrzej Nedzusiak.
Series.
Journal of Formalized Mathematics,
3, 1991.
 [8]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [9]
Michal J. Trybulec.
Integers.
Journal of Formalized Mathematics,
2, 1990.
 [10]
Wojciech A. Trybulec.
Pigeon hole principle.
Journal of Formalized Mathematics,
2, 1990.
 [11]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [12]
Edmund Woronowicz.
Manyargument relations.
Journal of Formalized Mathematics,
2, 1990.
Received March 18, 1994
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