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The initial formulation of the retiming problem as described by Leiserson and Saxe is as follows. Given a directed graph:= (,) whose vertices represent logic gates or combinational delay elements in a circuit, assume there is a directed edge := (,) between two elements that are connected directly or through one or more registers.
A logic gate is a device that performs 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 [1] (see ...
An inverter could also be implemented with the XOR gate, as A XOR 1 = Ā. [8] Another kind of fluidic logic is bubble logic. Bubble logic gates conserve the number of bits entering and exiting the device, because bubbles are neither produced nor destroyed in the logic operation, analogous to billiard-ball computer gates. [9]
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.
Quantum full adder, using Toffoli and CNOT gates. The CNOT-gate that is surrounded by a dotted square in this picture can be omitted if uncomputation to restore the B output is not required. Using only the Toffoli and CNOT quantum logic gates, it is possible to produce quantum full- and half-adders.
A logic family of monolithic digital integrated circuit devices is a group of electronic logic gates constructed using one of several different designs, usually with compatible logic levels and power supply characteristics within a family. Many logic families were produced as individual components, each containing one or a few related basic ...
Several important complexity measures can be defined on Boolean circuits, including circuit depth, circuit size, and the number of alternations between AND gates and OR gates. For example, the size complexity of a Boolean circuit is the number of gates in the circuit. There is a natural connection between circuit size complexity and time ...
A Turing Tumble machine has the following parts: Ball drops – The standard version uses two ramps which store a given number of balls. A switch at the bottom of the board triggers the release of the initial ball (typically blue), from the top left of the panel.