VLSI Design and Implementation of Fast Addition Using QSD Number System

Abstract

The high performance Arithmetic units are essential since the speed of the digital processor depends heavily on the speed of the Arithmetic units used is the system.Using quaternary signed digit (QSD) number system both carry free addition and borrow free subtraction can be achieved. The QSD number system requires a special set of prime modulo based logic for arithmetic operations. Using a high radix number system such as Quaternary Signed Digit(QSD),a carry free arithmetic operation can be achieved. Arithmetic Operations such as addition and subtraction for large numbers like 64 and 128 can be computed without the propagation of carry using QSD number system. Design is simulated and analyzed using Xilinx 14.4 ISE Simulator.