1. Binary to decimal
    Decimal to binary

Exercise 1.1.1: Binary to decimal and vice versa

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2. The IEEE 754 standard
    Normalized format
    Exponent representation
    Binary32 (single precision)
    Binary64 (double precision)

Exercise 1.2.1: Binary to decimal, single-precision
Exercise 1.2.2: Decimal to binary, single-precision

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3.  Normal numbers
     Subnormal numbers
     Machine epsilon
     Rounding errors
     Maximum integer
     Special values

Exercise 1.3.1: Examples with a toy IEEE 754 format
Exercise 1.3.2: Examples with a simple IEEE 754 format and decimal to binary and vice versa for this format

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4. Absolute and relative error

Exercise 1.4.1: Calculation of absolute and relative errors

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5. IEEE 754 standard rounding

Exercise 1.5.1: Truncation and rounding to the closest even number in decimal and binary
Exercise 1.5.2: Conversion and rounding from decimal to single precision