Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
2's Complement Circuit
-
Katsumi Wasaki
-
National College of Technology, Nagano
-
Pauline N. Kawamoto
-
Shinshu University, Nagano
Summary.
-
This article introduces various Boolean operators
which are used in discussing the properties and stability
of a 2's complement circuit. We present the definitions
and related theorems for the following logical operators
which include negative input/output: 'and2a', 'or2a',
'xor2a' and 'nand2a', 'nor2a', etc. We formalize
the concept of a 2's complement circuit, define the
structures of complementors/incrementors for binary
operations, and prove the stability of the circuit.
The terminology and notation used in this paper have been
introduced in the following articles
[9]
[11]
[12]
[2]
[3]
[13]
[4]
[8]
[10]
[6]
[7]
[5]
[1]
-
Boolean Operators
-
2's Complement Circuit Properties
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Received October 25, 1996
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