Classified one‐step modified signed‐digit arithmetic and its optical implementation

Huang, Hongxin

doi:10.1117/1.600602

Cited by 27 publications

(18 citation statements)

References 16 publications

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“…On the other hand, the overall performance of arithmetic computing can be increased when a nonbinary number representation is utilized to avoid the long carry/borrow bit propagation paths that exist during the binary arithmetic operations [1][2][3][4][5][6]. Examples of some nonbinary number representation are the multiple value number, redundant signed-digit number, residue, and exponential number representations, which permit parallel arithmetic operations [22][23][24][25].…”

Section: Introductionmentioning

confidence: 98%

All-optical negabinary adders using Mach–Zehnder interferometer

Cherri¹

2011

Optics & Laser Technology

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Section: Introductionmentioning

confidence: 98%

All-optical negabinary adders using Mach–Zehnder interferometer

Cherri¹

2011

Optics & Laser Technology

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“…[6][7][8][9][10][11][12][13][14] In all symbolic substitution schemes, the most essential task is to minimize the number of minterms ͑or symbolic substitution rules͒. In general, the number of symbolic substitution rules decreases with increasing number of processing steps.…”

Section: Introductionmentioning

confidence: 99%

One-step digit-set-restricted modified signed-digit adder using an incoherent correlator based on a shared content-addressable memory

Qian

Alam

2002

Opt. Eng

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An efficient one-step digit-set-restricted modified signed-digit (MSD) adder based on symbolic substitution is presented. In this technique, carry propagation is avoided by introducing reference digits to restrict the intermediate carry and sum digits to ͕1 ,0͖ and ͕0,1͖, respectively. The proposed technique requires significantly fewer minterms and simplifies system complexity compared to the reported one-step MSD addition techniques. An incoherent correlator based on an optoelectronic shared content-addressable memory processor is suggested to perform the addition operation. In this technique, only one set of minterms needs to be stored, independent of the operand length.

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“…23 This algorithm is based on classifying the three neighboring input digit pairs into 10 groups and then making a decision on the groups to select the output sum/difference digit. Also, a joint spatial encoding technique is developed for representing both the operands and the computation rules.…”

Section: Introductionmentioning

confidence: 99%

“…Using nonconventional number representations 2 ͑nonbinary͒ to design fast arithmetic units has gained much attention in recent years. Several nonbinary number representation schemes such as multiplevalued fixed radix-number, 3,4 residue number, 5-8 redundant number, 9 and signed-digit [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] were reported in the past decade to implement efficient arithmetic operations.…”

Section: Introductionmentioning

confidence: 99%

Classified one-step high-radix signed-digit arithmetic units

Cherri

1998

Opt. Eng

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High-radix number systems enable higher information storage density, less complexity, fewer system components, and fewer cascaded gates and operations. A simple one-step fully parallel high-radix signed-digit arithmetic is proposed for parallel optical computing based on new joint spatial encodings. This reduces hardware requirements and improves throughput by reducing the space-bandwidth product needed. The high-radix signed-digit arithmetic operations are based on classifying the neighboring input digit pairs into various groups to reduce the computation rules. A new joint spatial encoding technique is developed to present both the operands and the computation rules. This technique increases the spatial bandwidth product (SBWP) of the spatial light modulators (SLMs) of the system. An optical implementation of the proposed high-radix signed-digit arithmetic operations is also presented. It is shown that our one-step trinary signed-digit (TSD) and quarternary signed-digit (QSD) arithmetic units are much simpler and better than all previously reported high-radix signed-digit techniques.

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Classified one‐step modified signed‐digit arithmetic and its optical implementation

Cited by 27 publications

References 16 publications

All-optical negabinary adders using Mach–Zehnder interferometer

All-optical negabinary adders using Mach–Zehnder interferometer

One-step digit-set-restricted modified signed-digit adder using an incoherent correlator based on a shared content-addressable memory

Classified one-step high-radix signed-digit arithmetic units

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