Effects of multiple-bit shift-right operations on complex binary numbers

To represent a given complex number as one-unit binary number, complex binary number system (CBNS) with (-1+j)-base has been proposed in computer arithmetic literature. In this paper, we have investigated the effects on magnitude and sign of the complex number represented in CBNS format after its binary representation has been shifted-right by one, two, three, and four bits. The analysis leads to the conclusion that multiple-bit shift-right operation in CBNS is quite different from the multiple-bit shift-right operation in traditional binary number system.