Design of a Nibble-Size Adder for (-1+j)-Base Complex Binary Numbers

摘要

For a long time, complex numbers have been treated as distant relatives of real numbers and, as such, most of the complex arithmetic has been based on a divide-and-conquer technique wherein a complex number is broken up into its real and imaginary components and then each component is treated as if it was a part of the real arithmetic. The desire to provide equal opportunity representation to complex numbers has resulted in the proposal of a complex binary number system with bases -1+j and -1-j. In this paper, we'll present design of a minimum-delay complex binary adder which is capable of adding two 4-bit size complex numbers by treating each complex number as a single unit.