Efficient 3’s Complement Circuit for Ternary-ALU

Abstract

Carrying more information makes the ternary-computation effective in order to reduce the interconnect complexity and hence, ternary computer can be the future alternative to conventional (binary) counterpart. As a consequence the ternary arithmetic has become the centre of choice among circuit/system researcher in recent time. Ternary adder/subtractor is the integral part of Ternary Arithmetic Logic Unit (TALU) and the 3’s complement is used to represent negative ternary number in TALU. This work proposes a new two-step low hardware-cost strategy to converts ternary input into its 3’s complement output. Novel hardware optimization using normal process Enhancement-type Metal Oxide Semiconductor (E-MOS)-transistor is explored and exploited to design proposed 4-trit 3’s complement generator on 32nm standard CMOS technology with 0.9V supply-rail at 27°C temperature using typical MOS-transistor. Unbalanced ternary digit “0”, “1” and “2” are denoted with ground, supply/2 and supply respectively. The T-Spice transient simulations with all possible test patterns validate the working of proposed circuit and the corresponding speed-power characteristic is compared with most recent counterpart. The circuit performance is also evaluated with different load condition. The 4-trit 3’s complement circuit is extended next to propose 16-trit 3’s complement generator and the impact of Process and Environmental variation on the proposed circuit is studied.