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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.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
A CMOS transistor NAND element. V dd denotes positive voltage.. In CMOS logic, if both of the A and B inputs are high, then both the NMOS transistors (bottom half of the diagram) will conduct, neither of the PMOS transistors (top half) will conduct, and a conductive path will be established between the output and Vss (ground), bringing the output low.
3 triple 3-input NAND gate 14 SN74LS10: 74x11 3 triple 3-input AND gate 14 SN74LS11: 74x12 3 triple 3-input NAND gate open-collector 14 SN74LS12: 74x13 2 dual 4-input NAND gate Schmitt trigger: 14 SN74LS13: 74x14 6 hex inverter gate Schmitt trigger 14 SN74LS14: 74x15 3 triple 3-input AND gate open-collector 14 SN74LS15: 74x16 6 hex inverter gate
A NAND gate is equivalent to an OR gate with negated inputs, and a NOR gate is equivalent to an AND gate with negated inputs. This leads to an alternative set of symbols for basic gates that use the opposite core symbol (AND or OR) but with the inputs and outputs negated. Use of these alternative symbols can make logic circuit diagrams much ...
Sometimes only the circle portion of the symbol is used, and it is attached to the input or output of another gate; the symbols for NAND and NOR are formed in this way. [3] A bar or overline ( ‾ ) above a variable can denote negation (or inversion or complement) performed by a NOT gate. [4] A slash (/) before the variable is also used. [3]
3-input majority gate using 4 NAND gates. The 3-input majority gate output is 1 if two or more of the inputs of the majority gate are 1; output is 0 if two or more of the majority gate's inputs are 0. Thus, the majority gate is the carry output of a full adder, i.e., the majority gate is a voting machine. [7]
OR-AND-invert gates or OAI-gates are logic gates comprising OR gates followed by a NAND gate. ... Symbol for an 2-1 OAI-gate. The OR gate has the inputs A and B ...