Arithmatic version of boolean algebra

• Main Authors: Azram, Mohammad, Daoud, Jamal Ibrahim, Elfaki, Faiz Ahmed Mohamed
• Format: Conference or Workshop Item
• Language: English
• Published: IEEE 2009
• Subjects: TA Engineering (General). Civil engineering (General)
• Online Access: http://irep.iium.edu.my/14653/1/14653_Arithmatic%20version%20of%20boolean%20algebra.pdf; http://irep.iium.edu.my/14653/; http://ieeexplore.ieee.org/document/5234473/?reload=true
• Institution: Universiti Islam Antarabangsa Malaysia

In this article we will discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We will establish arithmetic versions of the common logical propositions inclusive of Sheffer stroke (Nand connective) and Peirce's arrow (Nor connective) which are very important to design circuit diagrams. We will present the comparison of some basic logical Boolean expressions and their arithmetic version through the truth tables. Finally we will establish the fundamental logical equivalent propositions via arithmetic versions.