  In this paper, new schemes for a squarer, multiplier and divider of complex
numbers are proposed. Traditional structural solutions for each of these
operations require the presence some number of general-purpose binary
multipliers. The advantage of our solutions is a removing of multiplications
through replacing them by less costly squarers. We use Logan's trick and
quarter square technique, which propose to replace the calculation of the
product of two real numbers by summing the squares. Replacing usual multipliers
on digital squares implies reducing power consumption as well as decreases
hardware circuit complexity. The squarer requiring less area and power as
compared to general-purpose multiplier, it is interesting to assess the use of
squarers to implementation of complex arithmetic.
