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  Physics Express 2011, 1: 18
  Research Article
Easy conversion technique of binary to quaternary signed digit and vice versa
  Tanay Chattopadhyaya,, Jitendra Nath Royb  
a Mechanical Operation (Stage-II), Kolaghat Thermal Power Station, WBPDCL, Mecheda, Purbamedinipur KTPP sub post office, 721137, West Bengal, India
b Department of Physics, National Institute of Technology, Agartala, Jianira, Tripura, 799055, India

  Several number systems have been used for different arithmetic and algebraic operations in the field of computing and parallel information processing. To achieve the parallelism in computation, a suitable number system and an efficient encoding/decoding scheme for handling the data are very much essential. Binary number is accepted as the best representing number system in almost all types of existing electronic computers. But, binary number (0 and 1) is insufficient in respect to the demand of the coming generation. Multi-valued logic (with Radix>2) can be viewed as an alternative approach to solve many problems in transmission, storage and processing of large amount of information in digital signal processing. An easily technique for conversion from binary number (2’s compliment representation) to quaternary signed digit (QSD) is reported in this manuscript. Technique for conversion of QSD to its binary equivalent form is also presented. All-optical circuits for conversion have also been proposed.
  Number theory; Multi-valued logic; Signed digit number  

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