On Two Conversion Methods of Decimal-to-Binary

TL;DR

This paper compares a classical division-based decimal-to-binary conversion method with a new addition-based approach, demonstrating that the latter is more efficient and simplifies hardware implementation.

Contribution

Introduces an addition-based decimal-to-binary conversion method that is easier to implement and more cost-effective than traditional division-based methods.

Findings

Addition-based method is more preferable than classical division method.

Hardware I/O translation can be reasonably removed.

Addition method is easily implemented by software.

Abstract

Decimal-to-binary conversion is important to modern binary computers. The classical method to solve this problem is based on division operation. In this paper, we investigate a decimal-to-binary conversion method based on addition operation. The method is very easily implemented by software. The cost analysis shows that the latter is more preferable than the classical method. Thus the current Input/Output translation hardware to convert between the internal digit pairs and the external standard BCD codes can be reasonably removed.