<title>Efficient optical negabinary signed-digit arithmetic operations and implementation using electron-trapping device</title>

Abstract

A two-step carry-free negabinary signed-digit(NSD) addition/subtraction algorithm and the fast conversion algorithm from NSD to negabinary in the carry-look-ahead mode have been investigated. All the arithmetic operations can be performed with binary logic. By programming the binary reference bits, addition and subtraction can be realized in parallel with the same binary logic functions.Correspondingly, a compact general-purpose optoelectronic arithmetic-logic array system using electron trapping device is suggested. Various complex logic functions can be performed by programming the illumination of the data arrays without additional temporal latency of the intermediate results.Experimental results will be presented.