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AND Gate
The AND gate is a basic digital logic gate that implements logical conjunction (∧) from mathematical logic AND gate behaves according to the truth table. A HIGH output (1) results only if all the inputs to the AND gate are HIGH (1). If not all inputs to the AND gate are HIGH, LOW output results. The function can be extended to any number of inputs. Symbols There are three symbols for AND gates: the American (ANSI or 'military') symbol and the IEC ('European' or 'rectangular') symbol, as well as the deprecated DIN symbol. Additional inputs can be added as needed. For more information see Logic gate symbols article. It can also be denoted as symbol "^" or "&". The AND gate with inputs ''A'' and ''B'' and output ''C'' implements the logical expression C = A \cdot B. This expression also may be denoted as C=A \wedge B or C=A \And B. Implementations An AND gate can be designed using only N-channel (pictured) or P-channel MOSFETs, but is usually implemented with both (CMOS). ...
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Logic Gate
A logic gate is an idealized or physical device implementing a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output. Depending on the context, the term may refer to an ideal logic gate, one that has for instance zero rise time and unlimited fan-out, or it may refer to a non-ideal physical device (see Ideal and real op-amps for comparison). Logic gates are primarily implemented using diodes or transistors acting as electronic switches, but can also be constructed using vacuum tubes, electromagnetic relays ( relay logic), fluidic logic, pneumatic logic, optics, molecules, or even mechanical elements. Now, most logic gates are made from MOSFETs (metal–oxide–semiconductor field-effect transistors). With amplification, logic gates can be cascaded in the same way that Boolean functions can be composed, allowing the construction of a physical model of all of Boolean logic, and therefore, all of the algorithms ...
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CMOS
Complementary metal–oxide–semiconductor (CMOS, pronounced "sea-moss", ) is a type of metal–oxide–semiconductor field-effect transistor (MOSFET) fabrication process that uses complementary and symmetrical pairs of p-type and n-type MOSFETs for logic functions. CMOS technology is used for constructing integrated circuit (IC) chips, including microprocessors, microcontrollers, memory chips (including CMOS BIOS), and other digital logic circuits. CMOS technology is also used for analog circuits such as image sensors (CMOS sensors), data converters, RF circuits ( RF CMOS), and highly integrated transceivers for many types of communication. The CMOS process was originally conceived by Frank Wanlass at Fairchild Semiconductor and presented by Wanlass and Chih-Tang Sah at the International Solid-State Circuits Conference in 1963. Wanlass later filed US patent 3,356,858 for CMOS circuitry and it was granted in 1967. commercialized the technology with the trademark ...
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IMPLY Gate
The IMPLY gate is a digital logic gate that implements a logical conditional pictured with a right-facing arrow (\rightarrow). F=A'+B ( Implication) Logic_gate_symbols. The_List_of_logic_symbols.html" ;"title="Logic_gate#Symbols.html" ;"title="Institute_of_Electrical_and_Electronics_Engineers.html" "title="f A is true output follows B otherwise output is always true. Symbols There are two symbols for IMPLY gates: the traditional symbol and the Institute of Electrical and Electronics Engineers">IEEE The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operati ... symbol. For more information see Logic gate#Symbols">Logic gate symbols. The List of logic symbols">logic symbol → can be used to denote IMPLY in algebraic expressions. See also *NIMPLY gate *AND gate *Inverter (logic g ...
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XNOR Gate
The XNOR gate (sometimes XORN'T, ENOR, EXNOR or NXOR and pronounced as Exclusive NOR. Alternatively XAND, pronounced Exclusive AND) is a digital logic gate whose function is the logical complement of the Exclusive OR (XOR) gate. It is equivalent to the logical connective (\leftrightarrow) from mathematical logic, also known as the material biconditional. The two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence gate". A high output (1) results if both of the inputs to the gate are the same. If one but not both inputs are high (1), a low output (0) results. The algebraic notation used to represent the XNOR operation is S = A \odot B. The algebraic expressions (A + \overline) \cdot (\overline + B) and A \cdot B + \overline A \cdot \overline B both represent the XNOR gate with inputs ''A'' and ''B''. Symbols There are two symbols for XNOR gates: one with distinctive shape and one ...
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XOR Gate
XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or (\nleftrightarrow) from mathematical logic; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0/LOW) or both are true, a false output results. XOR represents the inequality function, i.e., the output is true if the inputs are not alike otherwise the output is false. A way to remember XOR is "must have one or the other but not both". An XOR gate may serve as a "programmable inverter" in which one input determines whether to invert the other input, or to simply pass it along with no change. Hence it functions as a inverter (a NOT gate) which may be activated or deactivated by a switch. XOR can also be viewed as addition modulo 2. As a result, XOR gates are used to implement binary addition in computers. A half add ...
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Inverter (logic Gate)
In digital logic, an inverter or NOT gate is a logic gate which implements logical negation. It outputs a bit opposite of the bit that is put into it. The bits are typically implemented as two differing voltage levels. Description The NOT gate outputs a zero when given a one, and a one when given a zero. Hence, it inverts its inputs. Colloquially, this inversion of bits is called "flipping" bits. As with all binary logic gates, other pairs of symbols such as true and false, or high and low may be used in lieu of one and zero. It is equivalent to the logical negation operator (¬) in mathematical logic. Because it has only one input, it is a unary operation and has the simplest type of truth table. It is also called the complement gate because it produces the ones' complement of a binary number, swapping 0s and 1s. The NOT gate is one of three basic logic gates from which any Boolean circuit may be built up. Together with the AND gate and the OR gate, any function in binar ...
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OR Gate
The OR gate is a digital logic gate that implements logical disjunction. The OR gate returns true if either or both of its inputs are true; otherwise it returns false. The input and output states are normally represented by different voltage levels. Description The gate accepts two inputs. It outputs a 1 if either or both of these inputs are 1, or outputs a 0 only if both inputs are 0. The inputs and outputs are binary digits (" bits") which have two possible logical states. In addition to 1 and 0, these states may be called true and false, high and low, active and inactive, or other such pairs of symbols. Thus it performs logical disjunction (∨) from mathematical logic. The gate can be represented with the plus sign (+) because it can be used for logical addition. Equivalently, an OR gate finds the ''maximum'' between two binary digits, just as the AND gate finds the ''minimum''. Together with the AND gate and the NOT gate, the OR gate is one of three basic logic gat ...
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AND From NOR
or AND may refer to: Logic, grammar, and computing * Conjunction (grammar), connecting two words, phrases, or clauses * Logical conjunction in mathematical logic, notated as "∧", "⋅", "&", or simple juxtaposition * Bitwise AND, a boolean operation in programming, typically notated as "and" or "&" * Short-circuit ''and'', a short-circuit operator, notated "&&", "and", "and then", etc. * Ampersand, the symbol "&", representing "and" * AND gate, in electronics Music albums * ''And'' (John Martyn album), 1996 * ''And'' (Koda Kumi album), 2018 * '' A N D'', a 2015 album by Tricot * ''And'', a 2007 album by Jonah Matranga Businesses and organizations * Alberta New Democrats, now Alberta New Democratic Party * Academy of Nutrition and Dietetics, US * Automotive Navigation Data, digital map supplier * AND Corporation, biometrics * AND CO, software subsidiary of Fiverr Transportation * Anderson Regional Airport, South Carolina, US, IATA airport code * Anderston r ...
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AND From NAND
or AND may refer to: Logic, grammar, and computing * Conjunction (grammar), connecting two words, phrases, or clauses * Logical conjunction in mathematical logic, notated as "∧", "⋅", "&", or simple juxtaposition * Bitwise AND, a boolean operation in programming, typically notated as "and" or "&" * Short-circuit ''and'', a short-circuit operator, notated "&&", "and", "and then", etc. * Ampersand, the symbol "&", representing "and" * AND gate, in electronics Music albums * ''And'' (John Martyn album), 1996 * ''And'' (Koda Kumi album), 2018 * '' A N D'', a 2015 album by Tricot * ''And'', a 2007 album by Jonah Matranga Businesses and organizations * Alberta New Democrats, now Alberta New Democratic Party * Academy of Nutrition and Dietetics, US * Automotive Navigation Data, digital map supplier * AND Corporation, biometrics * AND CO, software subsidiary of Fiverr Transportation * Anderson Regional Airport, South Carolina, US, IATA airport code * Anderston r ...
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AND ANSI Labelled
or AND may refer to: Logic, grammar, and computing * Conjunction (grammar), connecting two words, phrases, or clauses * Logical conjunction in mathematical logic, notated as "∧", "⋅", "&", or simple juxtaposition * Bitwise AND, a boolean operation in programming, typically notated as "and" or "&" * Short-circuit ''and'', a short-circuit operator, notated "&&", "and", "and then", etc. * Ampersand, the symbol "&", representing "and" * AND gate, in electronics Music albums * ''And'' (John Martyn album), 1996 * ''And'' (Koda Kumi album), 2018 * '' A N D'', a 2015 album by Tricot * ''And'', a 2007 album by Jonah Matranga Businesses and organizations * Alberta New Democrats, now Alberta New Democratic Party * Academy of Nutrition and Dietetics, US * Automotive Navigation Data, digital map supplier * AND Corporation, biometrics * AND CO, software subsidiary of Fiverr Transportation * Anderson Regional Airport, South Carolina, US, IATA airport code * Anderston r ...
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NOR Gate
The NOR gate is a digital logic gate that implements logical NOR - it behaves according to the truth table to the right. A HIGH output (1) results if both the inputs to the gate are LOW (0); if one or both input is HIGH (1), a LOW output (0) results. NOR is the result of the negation of the OR operator. It can also in some senses be seen as the inverse of an AND gate. NOR is a functionally complete operation—NOR gates can be combined to generate any other logical function. It shares this property with the NAND gate. By contrast, the OR operator is ''monotonic'' as it can only change LOW to HIGH but not vice versa. In most, but not all, circuit implementations, the negation comes for free—including CMOS and TTL. In such logic families, OR is the more complicated operation; it may use a NOR followed by a NOT. A significant exception is some forms of the domino logic family. The original Apollo Guidance Computer used 4,100 integrated circuits (IC), each one containing ...
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NAND Gate
In digital electronics, a NAND gate (NOT-AND) is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results. A NAND gate is made using transistors and junction diodes. By De Morgan's laws, a two-input NAND gate's logic may be expressed as =+, making a NAND gate equivalent to inverters followed by an OR gate. The NAND gate is significant because any boolean function can be implemented by using a combination of NAND gates. This property is called functional completeness. It shares this property with the NOR gate. Digital systems employing certain logic circuits take advantage of NAND's functional completeness. The function is logically equivalent to One way of expressing A NAND B is \overline, where the symbol signifies AND and the bar signifies the negation of the ex ...
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