FließkommaArithmetik
FließkommaArithmetik refers to the arithmetic operations performed on floating-point numbers. These numbers are a way to represent real numbers that can be very large or very small, using a fixed number of digits. Unlike integer arithmetic, floating-point arithmetic is not always exact. This is due to the finite precision with which floating-point numbers are stored in computers.
The most common standard for floating-point representation is IEEE 754. This standard defines formats for single-precision
When performing calculations with floating-point numbers, several phenomena can occur. Rounding errors are inherent because many
Overflow and underflow are also concerns. Overflow occurs when a calculation results in a number too large
Despite these limitations, floating-point arithmetic is essential for a vast range of scientific, engineering, and financial