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Mohammad S. Alam, Abdul Ahad S. Awwal, and Mohammad A. Karim
Mohammad S. Alam,1 Abdul Ahad S. Awwal,2 and Mohammad A. Karim1
1Department of Electrical Engineering and the Center for Electro-Optics, University of Dayton, Dayton, Ohio 45469-0226.
2Department of Computer Science and Engineering, Wright State University, Dayton, Ohio 45435.
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An efficient higher-order modified signed-digit optical symbolic substitution technique for addition and subtraction has been derived. This two-step symbolic substitution technique, which is independent of the number of bits to be processed, saves a tremendous amount of computation time. Two separate approaches for optical implementation that use content-addressable memory and the joint transform correlator are also suggested.
© 1992 Optical Society of America
M. S. Alam, M. A. Karim, A. A. S. Awwal, and J. J. Westerkamp Appl. Opt. 31(26) 5614-5621 (1992)
A. A. S. Awwal, M. N. Islam, and M. A. Karim Appl. Opt. 31(11) 1687-1694 (1992)
Abdallah K. Cherri and Mohammad A. Karim Appl. Opt. 27(18) 3824-3827 (1988)
Yao Li and George Eichmann Appl. Opt. 26(12) 2328-2333 (1987)
David Casasent and Paul Woodford Appl. Opt. 33(8) 1498-1506 (1994)
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Modified Signed-Digit Representations of the Sums of Two 2-Bit Numbers
Higher-Order Modified Signed-Digit Symbolic Substitution Rule Truth Table for Addition
Higher-Order Modified Signed-Digit Symbolic Substitution Rule Truth Table for Subtraction
Reduced Minterms for the Outputs of Higher-Order Modified Signed-Digit Addition