Design of a Divider Circuit for Complex Binary Numbers

Complex numbers play a very important role in various applications of electrical and computer engineering. These days, arithmetic operations dealing with these numbers rely on a "divide-and-conquer" technique wherein a complex number is broken into its real and imaginary parts and then, after representing each part in binary number system, operation is carried out on each part as if part of the real arithmetic. In an effort to reduce the number of arithmetic operations within the realm of complex arithmetic, binary number system with base (-1+j), called complex binary number system (CBNS), has been proposed in the literature. This number system allows a complex number to be represented as single-unit instead of two separate units as in the traditional base-2 binary number system. Arithmetic circuits to perform addition, subtraction, multiplication, shift-left, and shift-right operations on complex numbers represented in CBNS have been previously presented in the literature. In this paper, we have presented the design procedure for a divider circuit involving CBNS.