Computer Arithmetic in modern computers and usages of Computer Arithmetic

As the ability to perform computation increased from the early days of computers and up to the present so was the knowledge how to utilize the hardware and software to perform computation. Digital computer arithmetic emerged from that period in two ways: one as an aspect of logic design and other as development of efficient algorithms to utilize the available hardware.Given that numbers in a digital computer are represented as a string of zeroes and ones and that hardware can perform only relatively simple and primitive set of Boolean operations, all of the arithmetic operations performed are based on a hierarchy of operations that are built upon the very simple ones.