Tag: bases

  • How to Add and Multiply in Base 12

    How to Add and Multiply in Base 12

    In the previous post, I explained some basics about base 12 counting. Since you’re back, clearly you’re a glutton for punishment (or your Algebra book is requiring you to do this).

    Either way, here’s how to add in base 12:

    And how to multiply:

    I cheated a little here here, because to me this is the easiest way. If you need an example or two to do it “right,” post it in the comments and I’ll do a few for you.

    A big thanks goes out to Kellie for the question.

  • What Base 12 Means

    What Base 12 Means

    Algebra books seem to believe that base 12 is a good idea for humans to use. This is only in the case of that pianist in GATTACA that has 12 fingers. We have a base 10 system because we have 10 fingers. (This is why you’re allowed to count and do arithmetic on your hands.)

    Regardless of the general uselessness of a base 12 system, working with it is a good exercise in patience, alternate thinking and puzzle solving.

    Here’s how to “count” in base 12:

    But what if you want to get higher than you can count? For instance, what if some algebra book asks, “What’s after EE012?”

    Now check out how to switch a base 10 number (which is our way) into a base 12 number:

    Want more? Check out how to add and multiply in the next post.

    Thanks to Kellie for the inspiration for this post.