• Satrughna Singha
• Amitabha Sinha

In this paper a new architecture for conversion of multiple digits double base number system (DBNS) into a single digit double base number system with bases 2 and 5 using the Look-up Table (LUT) approach has been discussed. Among the other non-binary number systems, DBNS is becoming popular for their competences of performing multiplication operation efficiently. In-spite of the various advantages of DBNS, the major problem which is connected with the DBNS is the transformation from multiple digits double base number system (DBNS) into a single digit double base number system. Putting up this matter in view this paper represents a new transformation scheme from multiple digits or multiple index pairs DBNS into a single digit or single index pair DBNS with bases 2 and 5 using the Look-up Table (LUT) technique. In this paper some important properties of the DBNS with bases 2 and 5 have been discussed. Also the DBNS index calculus with bases 2 and 5 has been discussed.

Double Base Number System (DBNS), Look-up Table (LUT), Field Programmable Gate Arrays (FPGAs), Near-canonic Double Base Number Representation (NCDBNR),Index Calculus.

"A New Architecture for Conversion of Multiple Digits Double Base Number System (DBNS) to Single Digit DBNS with Bases 2 and 5 using the Look - up Table (LUT) Technique", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 12, page no.169-173, December-2020, Available :http://www.jetir.org/papers/JETIREJ06036.pdf

"A New Architecture for Conversion of Multiple Digits Double Base Number System (DBNS) to Single Digit DBNS with Bases 2 and 5 using the Look - up Table (LUT) Technique", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 12, page no. pp169-173, December-2020, Available at : http://www.jetir.org/papers/JETIREJ06036.pdf