Carry-free addition and borrow-free subtraction of modified signed-digit trinary numbers with optical symbolic substitution are presented. The proposed two-step and three-step algorithms can be easily implemented by using phase-only holograms, optical content-addressable memories, a multichannel correlator, or a polarization-encoded optical shadow-casting system.
© 1992 Optical Society of America
Original Manuscript: March 12, 1991
Published: April 10, 1992
A. A. S. Awwal, M. N. Islam, and M. A. Karim, "Modified signed-digit trinary arithmetic by using optical symbolic substitution," Appl. Opt. 31, 1687-1694 (1992)