<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper we compare the efficiency of the decimal system to the efficiency of different mixed radix representations. We use as a starting point for our study the duodecimal systems suggested by Pascal and the Maya “Long Count” system. Using the quality index we experimentally show that two slight deviations from the duodecimal system are more efficient than the previous two systems and also than the decimal system.</p>
</abstract>

In this paper we compare the efficiency of the decimal system to the efficiency of different mixed radix representations. We use as a starting point for our study the duodecimal systems suggested by Pascal and the Maya “Long Count” system. Using the quality index we experimentally show that two slight deviations from the duodecimal system are more efficient than the previous two systems and also than the decimal system.

Lagrange was Wrong, Pascal was Right

Recreational Mathematics Magazine

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Lagrange was Wrong, Pascal was Right"}

In this paper we compare the efficiency of the decimal system to the efficiency of different mixed radix representations. We use as a starting point for our...

Lagrange was Wrong, Pascal was Right

Published Online: Jun 14, 2022

Page range: 55 - 64

DOI: https://doi.org/10.2478/rmm-2022-0004

Keywords
numerical systems, mixed radix numbers, duodecimal system

© 2022 George Teşeleanu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Lagrange was Wrong, Pascal was Right

Published Online: Jun 14, 2022

Page range: 55 - 64

DOI: https://doi.org/10.2478/rmm-2022-0004

Keywordsnumerical systems, mixed radix numbers, duodecimal system

© 2022 George Teşeleanu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
numerical systems, mixed radix numbers, duodecimal system