The real number set $\real$ is infinite in two ways: it is unbounded and continuous. In most practical computing, the latter kind of infiniteness is much more consequential than the former, so we turn ...

Write a program in any language that converts a floating-point number to its simplified floating-point representation or the IEEE 754 format discussed in the slides. The simplified model uses 1 bit ...

People learn in different ways, but sometimes the establishment fixates on explaining a concept in one way. If that’s not your way you might be out of luck. If you have trouble internalizing floating ...

The term floating point is derived from the fact that there is no fixed number of digits before and after the decimal point; namely, the decimal point can float. There are also representations in ...

A way to represent very large and very small numbers using the same quantity of numeric positions. Floating point also enables calculating a wide range of numbers very quickly. Although floating point ...

Embedded C and C++ programmers are familiar with signed and unsigned integers and floating-point values of various sizes, but a number of numerical formats can be used in embedded applications. Here ...

Once the domain of esoteric scientific and business computing, floating point calculations are now practically everywhere. From video games to large language models and kin, it would seem that a ...