Multiple-valued current-mode arithmetic circuits based on redundant positive-digit number representations

High-speed arithmetic algorithms and circuits based on redundant positive-digit number representations are described. To perform two-input radix-2 addition, for example, the proposed algorithm uses digit set {0, 1, 2, 3}. The addition and subtraction can be performed speedily by a constant time independent of the wordlength. The n-digit multiplication and division can he performed in a time proportional to log₂ n and n, respectively. The basic arithmetic circuits are designed and implemented with multiple-valued current-mode circuits. The multiple-valued arithmetic circuits using the proposed algorithms exhibit good speed and compactness in VLSI implementation