Number Systems

  1. Number System Conversions
    1. Converting to Decimal
      1. Binary to Decimal
        1. Weighted Sum Method
          1. Place Value Calculation
          2. Octal to Decimal
            1. Weighted Sum Method
              1. Place Value Calculation
              2. Hexadecimal to Decimal
                1. Weighted Sum Method
                  1. Place Value Calculation
                  2. General Conversion Formula
                  3. Converting from Decimal
                    1. Decimal to Binary
                      1. Division-Remainder Method
                        1. Integer Part Conversion
                          1. Fractional Part Conversion
                          2. Decimal to Octal
                            1. Division-Remainder Method
                              1. Integer Part Conversion
                                1. Fractional Part Conversion
                                2. Decimal to Hexadecimal
                                  1. Division-Remainder Method
                                    1. Integer Part Conversion
                                      1. Fractional Part Conversion
                                    2. Direct Conversions Between Non-Decimal Bases
                                      1. Binary to Octal
                                        1. Grouping Method (3 bits)
                                          1. Integer Conversion
                                            1. Fractional Conversion
                                            2. Octal to Binary
                                              1. Digit Expansion Method
                                                1. Integer Conversion
                                                  1. Fractional Conversion
                                                  2. Binary to Hexadecimal
                                                    1. Grouping Method (4 bits)
                                                      1. Integer Conversion
                                                        1. Fractional Conversion
                                                        2. Hexadecimal to Binary
                                                          1. Digit Expansion Method
                                                            1. Integer Conversion
                                                              1. Fractional Conversion
                                                              2. Octal to Hexadecimal
                                                                1. Via Binary Conversion
                                                                2. Hexadecimal to Octal
                                                                  1. Via Binary Conversion
                                                                3. Common Conversion Errors
                                                                  1. Leading Zero Handling
                                                                    1. Fractional Precision Loss
                                                                      1. Rounding Considerations

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                                                                    5. The Octal Number System (Base-8)

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                                                                    7. Arithmetic Operations in Different Bases