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Conversion conventions: Dozenal to Decimal

Step 1: Multiply the left-hand digit (decimally) by 12, and add the next digit to the product.

Step 2: Multiply this total by 12, and add the next digit, and so on to the end of the number.

Step 3: The final product is the decimal equivalent.

Conversion conventions: Decimal to Dozenal

A Base 12 Number System

Symbols for the Digits

By Miguel Mathias

The symbols are, in order:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, !, @

Step 1: Multiply the left-hand digit (dozenally) by !, and add the next digit to the product.

Step 2: Multiply this total by !, and add the next digit, and so on to the end of the number.

Step 3: The final product is the corresponding dozenal number.

Examples:

1. 100 to dozenal:

1

* !

____

!

+ 0

____

!

* !

____

84

+ 0

____

84

2. 2458 to dozenal:

2

* !

____

18

+ 4

____

20

* !

____

180

+ 5

____

185

* !

____

1502

+ 8

____

150!

3. 17279 to dozenal:

1

* !

_____

!

+ 7

_____

15

* !

_____

122

+ 2

_____

124

* !

_____

@@4

+ 7

_____

@@@

* !

_____

9@@2

+ 9

_____

9@@@

The Name of the System

The name of a base 12 number system would be either "duodecimal", or "dozenal".

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