Number Systems

  1. Historical and Alternative Number Systems
    1. Ancient Non-Positional Systems
      1. Tally Systems
        1. Basic Counting Methods
          1. Archaeological Evidence
            1. Limitations
            2. Roman Numerals
              1. Basic Symbols
                1. Combination Rules
                  1. Subtractive Notation
                    1. Mathematical Limitations
                    2. Egyptian Hieroglyphic Numerals
                      1. Symbol System
                        1. Additive Principle
                          1. Historical Context
                        2. Historical Positional Systems
                          1. Babylonian System (Base-60)
                            1. Cuneiform Notation
                              1. Place Value Structure
                                1. Mathematical Achievements
                                  1. Legacy in Time Measurement
                                  2. Mayan System (Base-20)
                                    1. Vigesimal Structure
                                      1. Zero Concept
                                        1. Calendar Applications
                                          1. Mathematical Sophistication
                                          2. Chinese Rod Numerals
                                            1. Positional Notation
                                              1. Decimal Structure
                                                1. Historical Development
                                              2. Specialized Number Systems
                                                1. Balanced Ternary
                                                  1. Structure and Properties
                                                    1. Computational Applications
                                                    2. Factorial Number System
                                                      1. Structure and Applications
                                                        1. Permutation Representation
                                                        2. Fibonacci Base
                                                          1. Zeckendorf Representation
                                                            1. Unique Properties
                                                          2. Cultural and Mathematical Impact
                                                            1. Influence on Modern Mathematics
                                                              1. Cross-Cultural Exchange
                                                                1. Evolution of Mathematical Thinking

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                                                              9. Character and Data Encoding

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                                                              1. Introduction to Number Systems