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An alternate method of representation of number system is proposed. The alternate method is based on reflection (0) and inverted reflection (1). Using an inverted reflected plane, one can create consecutive places of a number system. The alternate method has the advantage of creating empowered system representation with all places of the same power of the base. Three axioms are identified and can be proved by the method of mathematical induction to complete the process. The three axioms are, a creation of number system using inverted reflection, unique non-repetitive inverted reflection count generates natural numbers and taking inverted reflection with sign bit generates two’s complement representation of negative numbers. It enabled us to create any desired number system and explained with the help of two versions of the decimal system. Typically, powered system representation leads to random switching within the representation.
Ranganathan Vijayaraghavan. 2026. \u201cNature Inspired Computing Machine\u201d. Global Journal of Research in Engineering - F: Electrical & Electronic GJRE-F Volume 22 (GJRE Volume 22 Issue F1): .
Crossref Journal DOI 10.17406/gjre
Print ISSN 0975-5861
e-ISSN 2249-4596
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Total Score: 102
Country: India
Subject: Global Journal of Research in Engineering - F: Electrical & Electronic
Authors: Ranganathan Vijayaraghavan, Samanvita Nagaraju (PhD/Dr. count: 0)
View Count (all-time): 222
Total Views (Real + Logic): 1614
Total Downloads (simulated): 33
Publish Date: 2026 01, Fri
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An alternate method of representation of number system is proposed. The alternate method is based on reflection (0) and inverted reflection (1). Using an inverted reflected plane, one can create consecutive places of a number system. The alternate method has the advantage of creating empowered system representation with all places of the same power of the base. Three axioms are identified and can be proved by the method of mathematical induction to complete the process. The three axioms are, a creation of number system using inverted reflection, unique non-repetitive inverted reflection count generates natural numbers and taking inverted reflection with sign bit generates two’s complement representation of negative numbers. It enabled us to create any desired number system and explained with the help of two versions of the decimal system. Typically, powered system representation leads to random switching within the representation.
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