Performing Binary Logical Operation in Decimal Arithmetic

Yumnam Kirani Singh


Proposed here are the new ways of performing binary logical operations using decimal arithmetic. Usually, binary logical operations such as AND, OR, XOR etc are performed in binary arithmetic which is time consuming and quite erroneous when performed manually. We are familiar with decimal arithmetic, so if we can perform binary logical operations in decimal arithmetic, it will be easier for us and at the same time less error prone and help us understanding the logical operations in a better way. These logical operations are basic building block of digital devices and systems in the modern digital world. Understanding different ways of performing these operations may altogether bring a change in how the digital devices are designed. A deeper study has been made on these operations and a new logical operation named YOR has also been introduced.

Full Text:



Z.A. Kissel, “Ofuscation of standard XOR algorithm,†Crossroads, vol. 11(3), pp. 6-6, 2005.

M.Morries Mano. “Digital Logic and Computer Designâ€, Prentice Hall, 6rd

M. Moris Mano, Michel D. Ciletti,. “Digital Design – with an introduction Verilog HDLâ€, Pearson, 5 Ed. 2016.


Abdelfatah A.Tamimi, Ayman M. Abdalla, “An Image Encryption Algorithm with XOR and S-BOX†Int’l Conf. IP, Comp.Vision and Pattern Recognition (IPCV’15), pp. 167-169. Ed, 2014.

John F.Wakerly, Digital Design-Principles & Practices. Prentice Hall INC, 4th Ed., 2012.


  • There are currently no refbacks.


The “ADBU Journal of Engineering Technology (AJET)" ISSN:2348-7305

This journal is published under the terms of the Creative Commons Attribution (CC-BY) (

Number of Visitors to this Journal:web counter