Title :
The complex binary number system
Author_Institution :
Sultan Qaboos Univ., Oman
Abstract :
Conversion algorithms and arithmetic procedures for a (-1 + j)-base binary number allow a given complex number to be represented as one unit. This should simplify the operations involving complex numbers in today´s microprocessors. With the division process secure, we can implement the usual algorithms for calculating functions and processes such as logarithms, exponentials and trigonometric functions Currently, work is underway to write Java applets for the algorithms. We are planning to design an arithmetic unit based on the new binary system which will then be implemented using field programmable gate arrays
Keywords :
Java; digital arithmetic; field programmable gate arrays; (-1+j)-base binary number; Java applets; arithmetic procedures; arithmetic unit; complex binary number system; conversion algorithms; division process; exponentials; field programmable gate arrays; logarithms; trigonometric functions; Arithmetic;
Journal_Title :
Potentials, IEEE