Number Systems

  1. Computer Number Representation
    1. Integer Representation
      1. Unsigned Integers
        1. Bit Width and Range
          1. Storage Limitations
          2. Signed Integer Representations
            1. Sign-Magnitude Representation
              1. Structure and Format
                1. Advantages and Disadvantages
                2. One's Complement
                  1. Structure and Format
                    1. Arithmetic Operations
                      1. End-Around Carry
                        1. Limitations
                        2. Two's Complement
                          1. Structure and Format
                            1. Negative Number Representation
                              1. Arithmetic Operations
                                1. Overflow Detection
                                  1. Range Calculations
                                    1. Advantages in Computing
                                2. Floating-Point Representation
                                  1. Fixed-Point Numbers
                                    1. Structure and Applications
                                      1. Precision Limitations
                                      2. Floating-Point Format
                                        1. Scientific Notation Basis
                                          1. IEEE 754 Standard
                                            1. Single-Precision (32-bit)
                                              1. Sign Bit
                                                1. Exponent Field
                                                  1. Mantissa Field
                                                  2. Double-Precision (64-bit)
                                                    1. Sign Bit
                                                      1. Exponent Field
                                                        1. Mantissa Field
                                                      2. Special Values
                                                        1. Positive Zero
                                                          1. Negative Zero
                                                            1. Positive Infinity
                                                              1. Negative Infinity
                                                                1. Not-a-Number (NaN)
                                                                2. Precision and Accuracy
                                                                  1. Rounding Modes
                                                                    1. Range Limitations

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                                                                7. Arithmetic Operations in Different Bases

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                                                                9. Character and Data Encoding