Design Methods for Binary to Decimal Converters Using Arithmetic Decompositions

In digital signal processing, radixes other than two are often used for high-speed computation. In the computation for finance, decimal numbers are used instead of binary numbers. In such cases, radix converters are necessary. This paper considers design methods for binary to q-nary converters. It introduces a new design technique based on weighted-sum (WS) functions. The method computes a WS function for each digit by an LUT cascade and a binary adder, then adds adjacent digits with q-nary adders. A 16-bit binary to decimal converter is designed to show the method.