| Presentation | 1996/1/26 A Hardware Algorithm for Right-Shift Modular Division with a Redundant Binary Representation Kouichi Nakahara, Naofumi Takagi, Shuzo Yajima, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A hardware algorithm for modular division is proposed. The binary gcd method is extended to perform modular division. Modular division is performed through iteration of simple operations, such as right-shifts and additions. The redundant binary representation with a digit set {0, 1, -1} is employed so that additions are performed without carry propagation. A modular division is carried out in O(n) clock cycles where n is the word length of the operands. The length of each clock cycle is constant independent of n. A modular divider based on the algorithm has a regular cellular array structure with a bit slice feature and is very suitable for VLSI implementation. Its amount of hardware is proportional to n. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | modular division / modular arithmetic / hardware algorithm / redundant binary / gcd |
| Paper # | COMP95-76 |
| Date of Issue |
| Conference Information | |
| Committee | COMP |
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| Conference Date | 1996/1/26(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Hardware Algorithm for Right-Shift Modular Division with a Redundant Binary Representation |
| Sub Title (in English) | |
| Keyword(1) | modular division |
| Keyword(2) | modular arithmetic |
| Keyword(3) | hardware algorithm |
| Keyword(4) | redundant binary |
| Keyword(5) | gcd |
| 1st Author's Name | Kouichi Nakahara |
| 1st Author's Affiliation | Department of Information Science Kyoto University() |
| 2nd Author's Name | Naofumi Takagi |
| 2nd Author's Affiliation | Department of Information Engineering Nagoya University |
| 3rd Author's Name | Shuzo Yajima |
| 3rd Author's Affiliation | Department of Information Science Kyoto University |
| Date | 1996/1/26 |
| Paper # | COMP95-76 |
| Volume (vol) | vol.95 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |