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Explore the intricacies of floating-point mathematics in this 45-minute conference talk from NDC TechTown 2022. Delve into the fundamentals of IEEE 754 floating-point numbers, including their representation and correlation to scientific notation. Gain insights into the limitations and potential errors associated with floating-point math in programming. Learn effective techniques for comparing floating-point numbers and understand the nuances of guaranteed results in mathematical operations. Examine scenarios where conventional understanding of floating-point math may falter, such as cross-platform C++ development and varying contexts. Conclude with a comprehensive overview of notable catch cases, limitations, and platform-specific considerations in floating-point arithmetic.