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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.
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.
If the truth table for a NAND gate is examined or by applying De Morgan's laws, it can be seen that if any of the inputs are 0, then the output will be 1.To be an OR gate, however, the output must be 1 if any input is 1.
2 dual 4-input NAND gate Schmitt trigger 14 SN74LS18: 74x19 6 hex inverter gate Schmitt trigger 14 SN74LS19: 74x20 2 dual 4-input NAND gate 14 SN74LS20: 74x21 2 dual 4-input AND gate 14 SN74LS21: 74x22 2 dual 4-input NAND gate open-collector 14 SN74LS22: 74x23 2 dual 4-input NOR gate with strobe, one gate expandable with 74x60 16 SN7423: 74x24 4
The transformation is easy to describe if the circuit is wholly constructed out of 2-input NAND gates (a functionally-complete set of Boolean operators): assign every net in the circuit a variable, then for each NAND gate, construct the conjunctive normal form clauses (v 1 ∨ v 3) ∧ (v 2 ∨ v 3) ∧ (¬v 1 ∨ ¬v 2 ∨ ¬v 3), where v 1 ...
OR-AND-invert gates or OAI-gates are logic gates comprising OR gates followed by a NAND gate. ... Truth table 2-1 OAI Input A B C:
The basic Fredkin gate [3] is a controlled swap gate (CSWAP gate) that maps three inputs (C, I 1, I 2) onto three outputs (C, O 1, O 2). The C input is mapped directly to the C output. If C = 0, no swap is performed; I 1 maps to O 1, and I 2 maps to O 2. Otherwise, the two outputs are swapped so that I 1 maps to O 2, and I 2 maps to O 1. It is ...
This results in increased speed, reduced power, smaller area, and potentially lower fabrication cost. For example, a 2-1 AOI gate can be constructed with 6 transistors in CMOS, compared to 10 transistors using a 2-input NAND gate (4 transistors), an inverter (2 transistors), and a 2-input NOR gate (4 transistors).