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

Adamatzky, Andrew

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