This paper presents new reconfigurable multiple-valued residue arithmetic circuits, in which multiplication and addition can be performed alternatively. In order to construct the reconfigurable arithmetic circuits, we develop shifting-based hardware algorithms for both mod m/sub i/ multipliers and mod m/sub i/ adders. The proposed algorithms utilize three-valued one-hot coding for the representation of each residue digit effectively. By the coding, mod m/sub i/ multiplication can be simply performed by a shift operation and sign inversion. In mod m addition, the operation is decomposed into several operations, which include an inverse operation, two multiplications and an increment operation. It is demonstrated that the proposed hardware algorithms of residue arithmetic are useful to implement the reconfigurable current-mode multiple-valued residue arithmetic circuits, which are comparable to the conventional ones.
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机译：本文提出了新的可重构的多值残留算术电路，其中可以替代地执行乘法和添加。为了构建可重新配置的算术电路，我们为Mod M / Sub I /乘法器和Mod M / Sub I /添加剂开发基于转换的硬件算法。所提出的算法利用三值单热编码，以有效地表示每个残留物数字。通过编码，可以通过换档操作和签名反演来简单地执行MOD M / SUB I /乘法。在Mod M添加中，操作被分解成几种操作，包括逆操作，两个乘法和增量操作。结果证明，所提出的残留算法的硬件算法可用于实现可与传统的可重新配置的电流模式多值算术算术电路。
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