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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
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.
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]
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.
An NMOS NAND gate with saturated enhancement-mode load device. The enhancement device can also be used with a more positive gate bias in a non-saturated configuration, which is more power efficient but requires a high gate voltage and a longer transistor. Neither is as power efficient or compact as a depletion load.
As an example, consider the static logic implementation of a CMOS NAND gate: This circuit implements the logic function = ¯ If A and B are both high, the output will be pulled low. If either A or B are low, the output will be pulled high. At all times, the output is pulled either low or high.
The 3-input Fredkin gate is functionally complete reversible gate by itself – a sole sufficient operator. There are many other three-input universal logic gates, such as the Toffoli gate. In quantum computing, the Hadamard gate and the T gate are universal, albeit with a slightly more restrictive definition than that of functional completeness.
The threshold values at the input to a logic gate determine whether a particular input is interpreted as a logic 0 or a logic 1 (e.g. anything less than 1 V is a logic 0, and anything above 3 V is a logic 1; in this example, the threshold values are 1 V and 3 V).