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Chapter 1: Floating Point Numbers - UAH - Engineering

EE448/528 Version 1- 1 chapter 1: Floating Point NumbersNot all real Numbers (denoted here as R) are representable on a digital computer. Inoperations involving the real Numbers , a computer uses a subset F , F R , known as the floatingpoint Intel-based PC utilizes Floating Point Numbers based on the IEEE Floating pointstandard. This standard utilizes both single precision (Intel s short real format) and doubleprecision (Intel s long real format) formats. For numerical calculations, MatLab uses doubleprecision Floating points exclusively; in fact, MatLab does not support the single precision this reason, we will concentrate only on the double precision Floating Point FormatThere are both normalized and denormalized Floating Point Numbers .

floating point numbers fall between successive powers of 2. For example, the number of floating point values between 2 and 4 is equal to the number of floating point numbers between 65,536

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