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The Number System

The Number System. By Jonathan Mee. The Unary System. An addition only number system Has only one symbol Impossible signal transmissions. The Binary and Decimal Systems. Addition and multiplication number systems Two symbols in binary Ten symbols in decimal Is binary the optimal system?.

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The Number System

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  1. The Number System By Jonathan Mee

  2. The Unary System • An addition only number system • Has only one symbol • Impossible signal transmissions

  3. The Binary and Decimal Systems • Addition and multiplication number systems • Two symbols in binary • Ten symbols in decimal • Is binary the optimal system?

  4. Number System Base Optimization • Minimize base number width while base X number width is held constant. • Results in e, or 2.718… • Compare ternary to binary base

  5. The Ternary System • Three phase components • Three bit logic • Signal transmissions comparable with binary

  6. Number Systems with Subtraction • Roman number system • Limited subtraction and addition • Redundant numbering

  7. The Balanced Ternary System • Uses addition, subtraction, and multiplication • Easy representation of negatives • Quick balancing to powers of three • Inherits all the ternary system’s benefits

  8. The Chinese Arithmetic System • A virtual system that focuses on division • Quick addition, subtraction, and multiplication • Good for compression, encryption, and multiprocessing

  9. Works Cited • Hayes, Brian. “Third Base.” American Scientist Nov.-Dec. 2001: 491-492. • Dewdney, A. K. The (New) Turing Omnibus. New York: Owl Books, 1993. • Brousentsov, N. P., S. P. Maslov, Alvarez J. Ramil, E.A. Zhogolev. “Development of Ternary Computers at Moscow State University.” 2 Feb. 2008. Russian Virtual Computer Museum. 2006. <http://www.computer-museum.ru/english/setun.htm> • Knuth, Donald E. The Art of Computer Programing. Ed. Michael A. Harrison. 2nd ed. 2 vols. Reading: Addison-Wesley Publishing Company, 1969.

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