• Journal of the Institute of Electronics Engineers of Korea SD
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• v.41 no.6
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• pp.43-51
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• 2004

An optical parallel modified signed-digit(MSD) number adder system is proposed by using triple rail-coding input patterns and serial arrangement method of symbolic substitution. By combing overlapped arithmetic results. which are produced by encoding MSD input as triple rail-coding patterns. into the same patterns, symbolic substitution rules are reduced and also by using serialized and space-shifted input patterns in optical experiments, the optical adder without space-shifting operation, NOR operation and threshold operation is implemented.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.38 no.11
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• pp.810-820
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• 2001

Conventional binary adder requires a carry propagation to the most significant bit, and leads to serial addition. However, optical adder using a modified signed digit(MSD) number system has been Proposed to reduce the carry propagation chain encountered in binary adder. In this paper, in order to minimize the number of symbolic substitution(SS) rules, nine input patterns were divided into five groups of the same addition results. For recognizing the input reference patterns, serial connections of joint spatial encoded patterns and masks without any other spatial operations are used.

• Proceedings of the IEEK Conference
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• 1998.10a
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• pp.987-990
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• 1998

An optical adder for a modified signed-digit(MSD) number system using joint spatial encoding method is proposed. In order to minimize the numbers of symbolic substitution rules, nine input patterns were divided into five groups of the same addition results. For recognizing the input reference patterns, masks and reference patterns without any other spatial operations are used. This adder is implemented by smaller system in size than a conventional adder.