Other Bases

This section contains articles which explore number bases other than dozenal, including decimal. Call it number-base ecumenicalism, if you will.

Examination of other number bases is beneficial because, like the learning of a new language, one can better understand their own language. A number base is a human technology, a tool by which we group quantities to help us analyze not only how many items we’re talking about, but to analyze the relationships between and among quantities. Computer scientists use hexadecimal notation to better understand the states of computer memory. This has come down to the graphic designer, in the way RGB color is specified. Hexadecimal is one of many tools at our disposal. For the dozenalist, the examination of other number bases illustrates that our understanding, that dozenal is the optimum number base for general human computation, is established on the firm ground of number theory. The dozenalist should not base his or her understanding on faith but on mathematics. Twelve does not make for a perfect number base; it is the strongest for everyday math. This does not rule out the use of other number bases, say hexadecimal for a better understanding of the states of computer memory, for particular applications. But a tour of the other number bases certainly will illustrate that base twelve arithmetic is superior for general use.

Title: Multiplication Tables of Various Bases
Author: Michael deVlieger
Subject: Multiplication tables in bases (dozenal) 2-26, 28, 30, 34, and 50.
Year: 11EX
MultiplicationSynopsis.pdf
Title: Analysis of Multiplication Tables
Author: Michael deVlieger
Subject: Comparing the traits of various bases' multiplication tables.
Year: 11E7
DSA-MultAnalysis1.pdf