LOGIC GATES
Logic gates are the basic building blocks of digital circuits, they take one or more binary inputs (0,1) and produce a binary output based on Boolean logic. The other functions of logic gates apart of Boolean logic are decision making, data storage, arithmetic operation, data routing, comparism, signal control and encoding/decoding.
There are several types of logic gate, the main ones are; AND, OR, NOT, NAND, NOR, XOR and XNOR logic gates.
AND gate produces an output of 1 only if all inputs are 1. Example of an AND gate includes; AND gate is used to control a light bulb such that the light bulb will only turn on if both switches A and B are turned on.
OR gate produces an output of 1 if any input is 1. Example of an OR gate includes; an OR gate is used to control an alarm system such that the alarm will sound if either switch A or switch B is turned on.
NOT gate or inverter produces an output that is the opposite of the input. Example of a NOT gate includes; a NOT gate can be used to invert a digital signal.
NAND gate produces and output of 0 only if all inputs are 1. Example of a NAND gate includes; a NAND is used to control a light bulb such that the light bulb will turn off only if both switches A and B are turned on.
NOR gate produces an output of 1 only if all inputs are 0. Example of a NOR includes; a NOR gate is used to control an alarm such that the alarm will sound only if both switches A and B are turned off.
XOR gate produces an output of 1 only if all the inputs are different. Example of a XOR gate includes; an XOR gate is used to control a light bulb such that the light bulb will turn on if switch A is turned on and switch B is turned off or vice versa.
XBOR gate produces an output of 1 if the inputs are the same. Example of an XNOR gate is used to control an alarm system such that the alarm will sound only if both switches A and B are turned on or both switches A and B are turned off.
The advantages of logic gates are; logic gates are simple, cheap and easy to manufacture in bulk, with millions capable of fitting on to a single chip. Logic gates have fast switching speeds, low in power consumption especially CMOS based ones. Logic gates are reliable and highly scalable and are the foundation of all modern digital systems. Logic gates combine easily to build complex circuits such as adders, memory and processors.
The disadvantages of logic gates are; logic gates need many gates combined for complex tasks. Logic gates are susceptible to noise, heat and voltage fluctuations. Logic gates have physical scaling limits as transistors shrink, quantum effects and leakages become issues. Logic gates have a fixed logic once fabricated, unless using reconfigurable hardware like FPGAs.
Logic gates find applications in the following; computing where they are used in CPUs, memory and arithmetic logic units (ALUs); consumer electronics, where they are used in calculators, digital watches and remote control; communications, where they are used in encoders, decoders, multiplexers in networking equipment; automotive , where they are used in engine control units, safety systems such airbags triggers etc.; industrial automation, where they are used in PLCs (programmable logic controllers), robotics etc.; security systems, where they are used in access control, alarm logic etc.; medical devices such as patient monitoring systems and medical imaging equipment etc.; industrial control systems such as traffic light controllers and elevator control systems.
The future of logic gates depends on the advances and development of the following technologies; quantum logic gates to implement quantum algorithms are being developed with the potential to solve more complex problems. Nano scale logic gates are being developed to implement digital circuits with extremely small size and low power consumption. Reconfigurable logic gates are being developed to perform different logical operations which can be useful in applications such as field programmable gate arrays (FPGAs). Biological logic gates are being developed to implement digital circuits using biological systems such as genetic circuits.
SOURCES:
- Digital logic and computer design by M. Morris Mano.
- Digital logic and computer design: A practical approach by Rajiv K. Singh.
- Digital fundamentals by Thomas L. Floyd.
- Contemporary logic design by Randy H. Katz and Gaetano Borriello.
- Boolean algebra and its applications by J. Eldon Whitesitt