Akademik Veri Yönetim Sistemi
TROIA 3RD INTERNATIONAL CONFERENCE ON APPLIED SCIENCES, Çanakkale, Türkiye, 27 - 28 Şubat 2026, ss.1-11, (Tam Metin Bildiri)
This study provides a detailed examination of the binary logic system
({0,1}), which forms the foundation of computer science, and the
generalized three-valued logic system ({-1,0,1}). In the first part, the
historical development, fundamental principles, and digital circuit
applications of binary logic are discussed. The mathematical definitions
of the AND, OR, NOT, and XOR operations are presented, along with their
algorithmic implementations. The following section introduces the
three-valued logic system and evaluates its advantages compared to the
classical binary framework. Particular attention is given to the
flexibility it offers in modeling uncertainty and intermediate states.
Logical operation tables for both systems are constructed, circuit-level
comparisons are performed, and the results are analyzed in detail. The
findings indicate that three-valued logic has significant potential for
future applications in fuzzy logic, artificial intelligence decision
systems, and quantum information processing. Accordingly, this work
establishes the theoretical basis for transitioning from the
certainty-driven structure of binary logic to the expanded framework of
multi-valued logics that accommodate uncertainty.