On the Reduction of Arithmetic Operations to Signed Addition

Abstract

This work develops a conceptual and computational framework showing how elementary arithmetic operations can be expressed as structured forms of signed addition. The framework simplifies the logical basis of arithmetic computation and provides a reduction model relevant to numerical theory, algorithm design, digital arithmetic, and minimal hardware units such as addition-only ALUs.

Citation

Stepan, R. (2025). On the Reduction of Arithmetic Operations to Signed Addition.
Zenodo. https://doi.org/10.5281/zenodo.17612069
        

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Version Notes

• Version: 1.0
• Last updated: 2025