A modified bi-imaginary number system

In this paper the properties of p-imaginary number systems are reviewed and a modified bi-imaginary number system is introduced as a special case with p = 2. Major properties, including conversion of integer and floating point operands represented in a radix +p system, range, sign and zero tests, and shifting are discussed. The ability to represent the operands as vectors of radix −2 digits suggests advantages in implementing machine-usable arithmetic algorithms.