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.