基于冗余带符号数字的光学无进位加法和无借位减法

Proceedings of the IEEE 1993 National Aerospace and Electronics Conference-NAECON 1993 Pub Date : 1993-05-24 DOI:10.1109/NAECON.1993.290789

A. Cherri

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引用次数: 0

摘要

采用一种新的有符号数字冗余数编码算法，设计了单步光电或两步全光免携带加减装置。开发了一种新的记录真值表，它在输入最小项(产生1或1输出的条目)与其相应的输出位之间具有对称的互补关系。使用新的记录方案，使用基于光符号替换的内容可寻址存储器(CAM)实现了一个高效的加/减单元。结果表明，新的编码的基于符号数的加/减算法具有更少的符号替换规则，并且与所有其他基于两步符号替换的光学实现相比具有优越性。

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Optical carry-free addition and borrow-free subtraction based on redundant signed-digit numbers

A single-step electro-optical or two-step all optical carry-free addition and borrow-free subtraction units are designed using a new recoding algorithm for the signed-digits redundant numbers. A new recording truth-table which has a symmetrical complemented relationship between the input minterms (entries that produce an output of 1 or 1) and their corresponding output bits is developed. Using the new recording scheme, an efficient adder/subtracter units are implemented using optical symbolic substitution based content-addressable memory (CAM). It is shown that the new recoded signed-digit based adder/subtracter has much less symbolic substitution rules and its superiority is established over all other two-step based-symbolic substitution optical implementations.<>

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Proceedings of the IEEE 1993 National Aerospace and Electronics Conference-NAECON 1993

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