• Balanced Number System: Application to Mathematical Puzzles

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/023/12/1395-1410

    • Keywords

       

      Binary number system, ternary number system, balanced number system, weight problem of Bachet de Meziriac.

    • Abstract

       

      The article explores the application of binary and ternarynumber systems to three classical mathematical puzzles –weight problem of Bachet deMeziriac, binary numbers magictrick, and the detection of a counterfeit coin. The article furtherelucidates the generalization of these puzzles using thebalanced number system.

    • Author Affiliations

       

      Shobha Bagai1

      1. Cluster Innovation Centre, G C Narang Road, University of Delhi, Delhi 110 007, India.
    • Dates

       

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