Unbiased Rounding for HUB Floating-point Addition - 2018


[*fr1]-Unit-Biased (HUB) is an emerging format primarily based on shifting the represented numbers by [*fr1] Unit within the Last Place. This format simplifies 2's complement and round-to-nearest operations by preventing any carry propagation. This saves power consumption, time and space. Taking under consideration that the IEEE floating-purpose customary uses an unbiased rounding because the default mode, this feature is also fascinating for HUB approaches. In this paper, we study the unbiased rounding for HUB floating-point addition in each as standalone operation and inside FMA. We have a tendency to show 2 totally different alternatives to eliminate the bias when rounding the add results, either partially or totally. We have a tendency to additionally gift a slip analysis and also the implementation results of the proposed architectures to assist the designers to determine what their best option are.

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