Chiel Zwinkels

Ternary Arithmetic

I made a balanced ternary calculator. You can use it to add, subtract, multiply and divide just like any other calculator, only it works with a different number system. This takes a little getting used to, but it opens up an interesting new perspective on arithmetic.

In particular, it provides an answer to the question: how do balanced number systems affect the way arithmetic works? When positive and negative numbers are on completely equal footing, does it still make sense to say that a negative times a negative equals a positive? The answer is: yes, it does – but it depends on the direction from which you approach it. This, along with other aspects of balanced ternary calculation, is explored in the ternary calculator. It’s a tool with a story to tell, and the story unfolds in the calculator’s info screen.

TernaryCalc is a Web App that works in any browser. If you have a Mac, an iPhone or an iPad, you can also go to the Apple App store to get the free iOS app.

TernaryCalc is part of my Balanced Ternary project. If you find this interesting, you might also like my TernaryClock.