Implementing Logic Functions With Non-Magnitude Based Physical Phenomena
An n-valued switch with n≧2 and n>2 and n>7, with an input enabled to receive a signal in one of n states, an output enabled to provide a signal in one of at least 2 states, under control of a control signal having one of at least 2 states is disclosed. Signals are instances of a physical phenomenon, an instance representing a state. N-valued inverters are also disclosed. Different types of signals are disclosed, including optical signals with different wavelengths, electrical signals with different frequencies and signals represented by a presence of a material. A kit including an n-valued switch is also disclosed.
1 . An n-state switch with n≧2, comprising:
a first input enabled to receive a combined signal including a first signal representing one of n states and a second signal representing one of n states, the first signal being an independent instance of a characteristic of a first physical phenomenon and the second signal being an independent instance of a characteristic of a second physical phenomenon;
an output enabled to provide a signal representing one of n states whenever the first input receives the combined signal; and
the n-state switch implementing a commutative truth table.
2 . The n-state switch as claimed in claim 1 , wherein the first signal and the second signal are an independent instance of a characteristic of a common physical phenomenon.
3 . The n-state switch as claimed in claim 1 , wherein the n-state switch is implemented on an integrated circuit.
4 . The n-state switch as claimed in claim 1 , wherein the n-state switch implements an n k truth table with k>2.
5 . The n-state switch as claimed in claim 1 , wherein at least one of the first and second signal is an inverted signal created by a device implementing an n-state inverter.
6 . The n-state switch as claimed in claim 1 , wherein the switch is part of a device implementing a non-commutative truth table.
7 . The n-state switch as claimed in claim 1 , wherein the n-state switch is part of a computing device.
8 . An n-state switch with n>3, comprising:
a first input enabled to receive a combined signal comprised of a first signal representing one of n states and a second signal representing one of n states, the first signal being an independent instance of a characteristic of a first physical phenomenon and the second signal being an independent instance of a characteristic of a second physical phenomenon;
an output enabled to provide a signal representing one of n states whenever the first input receives the combined signal; and
the n-state switch implementing a commutative truth table.
9 . The n-state switch as claimed in claim 8 , wherein the first signal and the second signal are an independent instance of a characteristic of a common physical phenomenon.
10 . The n-state switch as claimed in claim 8 , wherein the n-state switch is implemented on an integrated circuit.
11 . The n-state switch as claimed in claim 8 , wherein the n-state switch implements an n k truth table with k>2.
12 . The n-state switch as claimed in claim 8 , wherein at least one of the first and second signal is an inverted signal created by a device implementing an n-state inverter.
13 . The n-state switch as claimed in claim 8 , wherein the switch is part of a device implementing a non-commutative truth table.
14 . The n-state switch as claimed in claim 8 , wherein the n-state switch is part of a computing device.
15 . The n-state switch as claimed in claim 8 , wherein the n-state switch is part of a communication device.
16 . The n-state switch as claimed in claim 8 , wherein an absence of signal represents a state.
17 . The n-state switch as claimed in claim 8 , wherein n>7.
18 . A method for implementing an n-state truth table with n≧2, comprising:
inputting on a first input of a device enabled to receive and to detect a combined signal including a first signal representing one of n states and a second signal representing one of n states, the first signal being an independent instance of a characteristic of a first physical phenomenon and the second signal being an independent instance of the characteristic of a second physical phenomenon;
outputting on an output of the device a signal representing one of n states whenever the first input receives the combined signal; and
implementing by the device of a commutative n-state truth table.
19 . The method of claim 18 , wherein n>2.
20 . The method of claim 18 , wherein the first signal and the second signal are an independent instance of a characteristic of a common physical phenomenon.