Algorithm for output of floating-point numbers in fixed-point form

Floating Point Numbers

The natural arithmetic operand in a computer is the binary integer. However, the range of numbers that can be represented is limited by the computer’s word size. We cannot represent very large or very small numbers. For example, in a computer with a 32 bit word, the largest signed number is 2 – 1. The range is further diminished if some bits of the word are used for fractions. There are techniq...

Floating-point to Fixed-point Conversion

Converting floating - point applications to fixed - point

Without knowledge of the issues, the right tools, and a well-thought out development methodology, floating-point applications can in fact suffer the same problems as fixed-point equivalents. The reduced precision and range of fixed-point numbers means that fixed-point applications encounter stability problems more easily than floating-point applications, but both types of applications encounter...

Floating- to fixed-point MATLAB algorithm conversion for FPGAs

Although MATLAB is a powerful algorithm development tool, many of its benefits are reduced during the fixed-point conversion process. For example, new mathematical errors are introduced into the algorithm because of the reduced precision of the fixed-point arithmetic. You must rewrite code to replace high-level functions and operators with low-level models that reflect the actual hardware macro...

Automating transformations from floating - point to fixed - point for

Dedicated to my wife Jinyoung, my mother Sunmin, and my father Changseob. Acknowledgments On completing this dissertation I give my special thanks to my parents. They have devoted themselves to backing me up since the beginning of my life. I would then like to thank my wife for her support as I completed this dissertation. And to Obed I express my great joy to have him in my life. and guidance ...