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On half-adders based on fusion of signal carriers: Excitation, fluidics, and electricity

Adamatzky, Andrew

On half-adders based on fusion of signal carriers: Excitation, fluidics, and electricity Thumbnail


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Abstract

Likely outcomes of a collision between two objects are annihilation, reflection or fusion. We show how to construct a one-bit adder with pattern that fuse on impact.
A fusion gate has two inputs and three outputs. When a signal is generated on a single input the object propagates along its own output trajectory. When both inputs are active
the objects collide at a junction of input trajectories, fuse and propagate along dedicated output trajectory. Thus two outputs produce conjunction of one signal with negation of another signal; and,
third output produces conjunction of input signals. By merging two outputs in one we make a one-bit half adder: one output is the conjunction of input signals, another
output is the exclusive disjunction of the signals. We discuss blue-prints of the half-adders realised with two types of physical signal careers ---
wave-fragments in excitable medium and high-velocity jet streams. We also propose an electrical circuits analogous of a fusion half-adder.
By running fusion half-adders in reverse we find that, despite realising the same functions when in a straight mode, all devices implement different functions when their inputs swapped with outputs.

Journal Article Type Article
Acceptance Date Jun 1, 2016
Online Publication Date Dec 31, 2016
Publication Date Dec 31, 2016
Deposit Date Jan 13, 2017
Publicly Available Date Feb 12, 2017
Journal Complex Systems
Print ISSN 0891-2513
Peer Reviewed Peer Reviewed
Volume 25
Issue 3
Keywords half-adders, fusion, signal, carriers, excitation, fluidics, electricity
Public URL https://uwe-repository.worktribe.com/output/905073
Publisher URL http://www.complex-systems.com/abstracts/v25_i03_a04.html
Contract Date Jan 13, 2017

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