Boolean algebra

Digital logic is a fundamental aspect of modern electronic technology that utilizes the principles of Boolean algebra, primarily based on binary calculations with two states represented as 0 and 1. This system forms the backbone of various electronic devices, enabling the manipulation of electrical signals to perform tasks ranging from simple operations to complex computations in computers. By employing discrete transistors and integrated circuits, digital logic circuits control the flow of electricity through gates, which perform specific logical functions such as AND, OR, and NOT, allowing for intricate combinations in devices. The historical development of digital logic traces back to the work of pioneers like George Boole, who sought to express logic mathematically, and Charles Babbage, who conceptualized early computing machines. The invention of the semiconductor transistor in 1947 significantly advanced digital logic, leading to the miniaturization of components and the onset of the digital revolution. 3D-printed digital pneumatic logic for the control of soft robotic actuators. ;Browse More 3D-printed digital pneumatic logic for the control of soft robotic actuators.; A Memristive-Based Design of a Core Digital Circuit for Elliptic Curve Cryptography.; Design and Evaluation of a New Nanoscale and Cost-Efficient Coplanar Digital Parity Generator Based on Quantum Dots.; Efficient Design and Implementation of 21T Ternary Full Adder Based on Capacitive Threshold Logic and CNTFETs.; Implementation of Logic Gates Using Drain Engineering Dual Metal Gate-Based Charge Plasma TFET (DE-DMG-CP-TFET). Digital logic is electronic technology constructed using the discrete mathematical principles of Boolean algebra, which is based on binary calculation, or the base-2 numeral system. The underlying principle is the relationship between two opposite states, represented by the numerals 0 and 1. The various combinations of inputs utilizing these states in integrated circuits permit the construction and operation of many devices, from simple on-off switches to the most advanced computers. Digital logic is built upon the result of combining two signals that can have either the same or opposite states, according to the principles of Boolean algebra . Mathematical logic is based on binary calculation, or the base-2 numeral system. The underlying principle is the relationship between two opposite states, represented by the numerals 0 and 1. An AND gate transforms two or more input signals to produce a corresponding output signal only when all input signals are present. An OR gate transforms two or more input signals to produce an output signal if any of the input signals are present. Combinations of these three basic gate structures in integrated circuits are used to construct NAND (or not-AND) and NOR (or not-OR) gates, accumulators, flip-flops, and numerous other digital devices that make up the functioning structures of integrated circuits and computer chips. Boolean algebra is named for George Boole (1815–1864), a self-taught English scientist. This form of algebra was developed from Boole's desire to express concrete logic in mathematical terms. It is based entirely on the concepts of true and false. The intrinsically opposite nature of these concepts allows the logic to be applied to any pair of conditions that are related as opposites. The modern idea of computing engines began with the work of Charles Babbage (1791–1871), who envisioned a mechanical “difference engine” that would calculate results from starting values. Babbage did not see his idea materialize, though others using his ideas were able to construct mechanical difference engines. The development of the semiconductor junction transistor in 1947, attributed to William Shockley, John Bardeen, and Walter Brattain, provided the means to produce extremely small on-off switches that could be used to build complex Boolean circuits. This permitted electrical signals to car