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Source : Verilog HDL
Abstract:
In-memory computing using emerging technologies such as resistive random-access memory (ReRAM) addresses the ‘von Neumann bottleneck’ and strengthens the present research impetus to overcome the memory wall. While many methods have been recently proposed to implement Boolean logic in memory, the latency of arithmetic circuits (adders and consequently multipliers) implemented as a sequence of such Boolean operations increases greatly with bit-width. Existing in-memory multipliers require O(n2) cycles which is inefficient both in terms of latency and energy. In this work, we tackle this exorbitant latency by adopting Wallace Tree multiplier architecture and optimizing the addition operation in each phase of the Wallace Tree. Majority logic primitive was used for addition since it is better than NAND/NOR/IMPLY primitives. Furthermore, high degree of gate-level parallelism is employed at the array level by executing multiple majority gates in the columns of the array. In this manner, an in-memory multiplier of O(n.log(n)) latency is achieved which outperforms all reported in-memory multipliers. Furthermore, the proposed multiplier can be implemented in a regular transistor-accessed memory array without any major modifications to its peripheral circuitry and is also energy-efficient.
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In this paper, we first theoretically re-defined output decimal carry in terms of majority gates and proposed a carry look ahead structure for calculating all the intermediate output carries. We have used this method for designing the multi-digit decimal adders. Theoretically, our best n-digit decimal adder design reduces the delay and area-delay product (ADP) by 50% compared with previous designs. We have implemented our designs using QCA Designer tool. The proposed QCA Designer based 8-digit PBA-BCD adder achieves over 38% less delay compared with the best existing designs.
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