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568 9. Computing with Optics
9.140 M. S. Alam, A. A. S. Awwal, and M. A. Karim, 1992, "Digital Optical Processing Based on
Higher-Order Modified Signed-Digit Symbolic Substitution," Appl. Opt. 31, 2419 2425,
9.141 M. M. Mirsalehi and T. K. Gaylord, 1986, "Logical Minimization of Multilevel-Coded
Functions," Appl. Opt. 25, 3078-3088.
9.142 H. Huang, M. Itoh, and T. Yatagai, 1994, "Modified Signed-Digit Arithmetic Based on
Redundant Bit Representation," Appl. Opt. 33, 6146 6156.
9.143 S. Barua, 1991, "Single-Stage Optical Adder/Subtractor," Opt. Eng. 30, 265-270.
9.144 F. Qian, G. Li, H. Ruan, H. Jing, and L. Liu, 1999, "Two-Step Digit-Set-Restricted Modified
Signed-Digit Addition-Subtraction Algorithm and Its Optoelectronic Implementation,"
Appl Opt. 5621-5630.
9.145 F, Qian, G. Li, and M. Alam (2001), "Optoelectronic Quotient-Selected Modified Signed-
Digit Division," Opt. Eng. 40, 275-282.
9.146 A. A. S. Awwal, M. N. Islam, and M. A. Karim, 1992, "Modified Signed Digit Trinary
Arithmetic by Using Optical Symbolic Substitution," Appl. Opt. 31, 1687 1694.
9.147 M. S. Alam, M. A. Karim, A. A. S. Awwal, and J. J. Westerkamp, 1992, "Optical Processing
Based on Conditional Higher-Order Trinary Modified Signed-Digit Symbolic Substitution,"
Appl. Opt. 31, 5614 5621.
9.148 J. U. Ahmed, A. A. S. Awwal, and M. Karim, 1994, "Two-Bit Trinary Full-Adder Design
Based on Restricted Signed-Digit Numbers," Opt. & Laser Technol. 26, 225-228.
9.149 M. S. Alam, 1994, "Parallel Optical Computing Using Recoded Trinary Signed-Digit
Numbers," Appl. Opt. 33, 4392-4397.
9.150 M. S. Alam, 1994, "Efficient Trinary Signed-Digit Symbolic Arithmetic," Opt. Lett.. 19,
353-355.
9.151 M. M. Hossain, J. U. Ahmed, A. A. S. Awwal, and H. E. Michel, 1998, "Optical
Implementation of an Efficient Modified Signed-Digit Trinary Addition," Opt. & Laser
Technoi. 30, 49-55.
9.152 A. K. Cherri, M. K. Habib, and M. S. Alam, 1998, "Optoelectronic Recoded and Nonrecoded
Trinary Signed-Digit Adder That Uses Optical Correlation," Appl. Opt. 37, 2153 2163.
9.153 A. K. Cherri and M. S. Alam, 1998, "Recoded and Nonrecoded Trinary Signed-Digit Adders
and Multipliers with Redundant-Bit Representation," Appl. Opt. 37, 4405-4418.
9.154 M. S. Alam (March 1999, in press), "Parallel Optoelectronic Trinary Signed-Digit Division,"
Opt. End. 38.
9.155 M. S. Alam, K. Jemili, and M. A. Karim, 1994, "Optical Higher-Order Quaternary
Signed-Digit Arithmetic," Opt. Eng. 33, 3419-3426.
9.156 M. S. Alam, Y. Ahuja, A. K. Cherri, and A. Chatterjea, 1996, "Symmetrically Recoded
Quaternary Signed-Digit Arithmetic Using a Shared Content-Addressable Memory," Opt.
Eng. 35, 1141-1149.
9.157 A. K. Cherri, 1996, "High-Radix Signed-Digit Arithmetic Using Symbolic Substitution
Computations," Opt. Commun. 128, 108-122.
9.158 A. K. Cherri, 1998, "Classified One-Step High-Radix Signed-Digit Arithmetic Unit," Opt.
Ena. 37, 2324-2333.
9.159 K. Hwang and D. K. Panda, 1992, "High-Radix Symbolic Substitution and Superposition
Techniques for Optical Matrix Algebraic Computations," Opt. Eng. 31, 2422-2433.
9.160 G. Li, L. Liu, H. Cheng, and X. Yan, 1998, "Parallel Optical Quaternary Signed-Digit
Multiplication and Its Use for Matrix-Vector Operation," Optik 107, 165-172.
9.161 S. Zhang and M. A. Karim, 1998, "One-Step Optical Negabinary and Modified Signed-Digit
Adder, Opt. Laser Technol. 30, 193-198.
9.162 G. Li, F. Qian, H. Ruan, and L. Liu, 1999, "Parallel Optical Negabinary Computing
Algorithm and Optical Implementation," Opt. Eng. 38, 403-414.
9.163 F. Qian, G. Li, H. Ruan, and L. Liu, 2000, "Efficient Optical Lookahead Conversion from
Modified Signed-Digit to 2's Complement Representation," Optik 113, S3 19.

