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Conditional symbolic modified signed-digit arithmetic using optical content-addressable memory logic elements.

Y Li, G Eichmann

|May 22, 2010

Summary

This summary is machine-generated.

A novel conditional symbolic substitution rule simplifies modified signed-digit arithmetic. This method efficiently computes addition/subtraction results and complements using optical processing and holographic memory.

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Area of Science:

Computer Science
Optical Computing
Arithmetic Circuits

Background:

Modified signed-digit (MSD) arithmetic offers carry-free addition and subtraction, crucial for high-speed computation.
Existing MSD arithmetic methods often require complex logic or hardware implementations.
Optical computing presents opportunities for parallel processing and high-speed arithmetic operations.

Purpose of the Study:

To introduce a new conditional symbolic substitution rule for modified signed-digit arithmetic.
To demonstrate an optical implementation of this rule using holographic content-addressable memory.
To present a computationally efficient method for both addition/subtraction and complement generation.

Main Methods:

A novel conditional symbolic substitution rule is defined for MSD arithmetic.
Input numbers are converted into equivalent symbolic strings.
A two-step substitution process generates the arithmetic result and its complement.
Holographic content-addressable memory is utilized for optical implementation.

Main Results:

The proposed rule enables efficient computation of addition and subtraction in MSD arithmetic.
The method generates both the result and its complement in a single process.
The optical implementation demonstrates the feasibility of the symbolic substitution rule.

Conclusions:

The new conditional symbolic substitution rule provides an efficient approach for MSD arithmetic computation.
The optical implementation using holographic memory is a viable method for high-speed arithmetic processing.
This technique offers a promising direction for developing advanced optical arithmetic logic units.