(This page should be friendly to most colourblind viewers)

Conversion is not fast and easy unfortunately. But with these days, with computers, we can instantly convert between dozenal and decimal. If you're interested in learning how it all works, please, read on.

If you just want a quick converter, I've made one with Google Sheets here:

You can also download a calculator if you want here:

## Dozenal --> Decimal

Using

ones = 1 (12^0)

tens = 12 (12^1)

hundreds = 144 (12^2)

thousands = 1728 (12^3)

Let's start with a simple example:

26 (in dozenal)

Step 1:

Multiply the ten's column by 12.

2 x 12 = 24

Step 2:

Add the ones to the total.

24 + 6 = 30

Conclusion:

26 (in dozenal) = 30 (in decimal)

**decimal**math, remember these numbers for each placement:ones = 1 (12^0)

tens = 12 (12^1)

hundreds = 144 (12^2)

thousands = 1728 (12^3)

Let's start with a simple example:

26 (in dozenal)

Step 1:

Multiply the ten's column by 12.

2 x 12 = 24

Step 2:

Add the ones to the total.

24 + 6 = 30

Conclusion:

26 (in dozenal) = 30 (in decimal)

Now let's try a more difficult number:

2 4 0 8 (in dozenal)

Thousands:

Multiply the thousands column by 1728.

2 x 1728 = 3456

Hundreds:

Multiply the hundreds column by 144.

4 x 144 = 576

Add to the previous sum.

3456 + 576 = 4032

Tens:

Multiply the tens column by 12.

0 x 12 = 0

Add to the previous sum

4032

Ones:

Add the ones to the total.

8 + 4032 = 4040 (in decimal)

## Decimal --> Dozenal

Instead of multiplying, it's much easier to divide.

But instead of finding the quotient (the top number), we are looking at the remainders (the bottom number)

But instead of finding the quotient (the top number), we are looking at the remainders (the bottom number)

Let's do a gross: