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HIGH PERFORMANCE COMPLEX NUMBER MULTIPLIER USING BOOTH-WALLACE ALGORITHM: This book describes the methods required to implement a newly design approach for a high speed and high performance parallel complex number multiplier. The system is capable for processing a multiplication of 16x16-bit signed numbers. The complex number multiplier introduced proven that by reducing the number of partial product rows together with merging two different design techniques as well as the selection of fast adder are superior to produce high speed, high performance and reduce area system.