Boolean Algebra and Digital Logic Gates

AbstractIntegrated circuits utilize networked logic gates to compute Boolean logic operations that are the foundation of modern computation and electronics. With the emergence of flexible electronic materials and devices, an opportunity exists to formulate digital logic from compliant, conductive materials. Here, we introduce a general method of leveraging cellular, mechanical metamaterials composed of conductive polymers to realize all digital logic gates and gate assemblies. We establish a method for applying conductive polymer networks to metamaterial constituents and correlate mechanical buckling modes with network connectivity. With this foundation, each of the conventional logic gates is realized in an equivalent mechanical metamaterial, leading to soft, conductive matter that thinks about applied mechanical stress. These findings may advance the growing fields of soft robotics and smart mechanical matter, and may be leveraged across length scales and physics.

Download Full-text

Boolean Logic

KNOWLEDGE ORGANIZATION ◽

10.5771/0943-7444-2021-2-177 ◽

2021 ◽

Vol 48 (2) ◽

pp. 177-191

Author(s):

Martin Frické

Keyword(s):

Probability Theory ◽

Boolean Algebra ◽

Programming Languages ◽

Propositional Logic ◽

Logic Gates ◽

Boolean Logic ◽

Database Queries ◽

Electrical Switching ◽

Set Operations ◽

Set Membership

The article describes and explains Boolean logic (or Boolean algebra) in its two principal forms: that of truth-values and the Boolean connectives and, or, and not, and that of set membership and the set operations of intersection, union and complement. The main application areas of Boolean logic to knowledge organization, namely post-coordinate indexing and search, are introduced and discussed. Some wider application areas are briefly mentioned, such as: propositional logic, the Shannon-style approach to electrical switching and logic gates, computer programming languages, probability theory, and database queries. An analysis is offered of shortcomings that Boolean logic has in terms of potential uses in knowledge organization.

Download Full-text

Minimization of digital logic gates and ultra-low power AES encryption core in 180CMOS technology

Microprocessors and Microsystems ◽

10.1016/j.micpro.2020.103000 ◽

2020 ◽

Vol 74 ◽

pp. 103000 ◽

Cited By ~ 1

Author(s):

V. Nandan ◽

R. Gowri Shankar Rao

Keyword(s):

Low Power ◽

Logic Gates ◽

Digital Logic ◽

Ultra Low Power

Download Full-text

Design of ASIC Square Calculator Using AncientVedic Mathematics

International Journal of Engineering & Technology ◽

10.14419/ijet.v7i2.23.15334 ◽

2018 ◽

Vol 7 (2.23) ◽

pp. 464

Author(s):

Angshuman Khan ◽

Sudip Halder ◽

Shubhajit Pal

Keyword(s):

Integrated Circuit ◽

Software Tool ◽

Logic Gates ◽

Digital Logic ◽

Simple Design ◽

Innovative Design ◽

Circuit Asic ◽

Vedic Mathematics ◽

Application Specific Integrated Circuit ◽

Application Specific

This article includes a simple design of Vedic square calculator for Application Specific Integrated Circuit (ASIC). This is a straightforward and innovative design of Vedic calculator using only few basic digital logic gates. Among the all sutras and sub sutras of ancient Vedic mathematics, the sutra ‘Urdhva Tiryagbyham’ is used here for square calculation of two bits numbers which results in an effortless and faster method of square calculation than all the existing methods. The design and minimization of the circuit has been carried out to achieve a standard architecture that is the simplest too. Here Xilinx ISE software tool is used rigorously to simulate the architecture.

Download Full-text