Abstract

This paper proposes a new approach of representing decimal number system using Vinculum number representation. Vinculum number system consists of numerals 0,1,2,3,4,5 same as decimal number system and 6,7,8 and 9 are represented using negative numbers less than or equal to 5. Therefore Vinculum number system consists a set of numbers as {0, 1, 2, 3, 4, 5, −4, −3, −2, −1}. Hence complexity of higher order numerals like 6,7,8 and 9 are converted into less complex numbers. Vinculum is the Vedic method of representing decimal number system. Decimal numbers are representing in Binary Coded Decimal numbers for getting compatibility with Computer systems. Similarly we have used 2’s complement number system for representing Vinculum numbers. This helped in representing signed Vinculum numbers. A unique set of tuples are represented in Vinculum number system which are suitable for any decimal arithmetic operation.

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