The papers in this special section focus on emerging and impacting trends on computer arithmetic The computer arithmetic field encompasses the definition and standardization of arithmetic systems for computers. It also deals with issues pertaining to hardware and software implementations, testing, and verification. Researchers and practitioners of this field also work on challenges associated with using Computer Arithmetic to perform scientific and engineering calculations. As such, Computer Arithmetic can be regarded as a truly multidisciplinary field, which builds upon mathematics, computer science and electrical engineering. Thus, the range of topics addressed by Computer Arithmetic is generally very broad, spanning from highly theoretical to extremely practical contributions. Computer Arithmetic has been an active research field since the advent of computers, and it is progressively evolving following continuous advancements in technology.