Binary Number

Why we should be teaching quaternary in schools instead of base six or base eight. — Quaternary /kwəˈtɜːrnəri/ is the easiest and simplest form of binary (base two) besides binary itself. By that I mean that quaternary is, like octal (base eight) and hexadecimal (base sixteen) and every other radix that is a power of two, an abbreviated notation for binary. If that isn’t clear to…

I have found a very interesting way to add binary numbers. If we want to add binary numbers we will be needing three variables namely 1. Digit of first binary number 2. Digit of second binary number 3. …

Our everyday counting system really is base ten, as long as we ignore those oh so convenient commas and that oh so natural (or so we think) and convenient way we say numbers and write them long hand. Take 656,004,889. Making the base explicit we have:656,004,889ten. …

We say a decimal number in one of two ways depending on the situation. If we are saying how old someone is, or how many jelly beans are on a plate, we say it as a normal number. If it is a zip code, telephone number, or password, we say…

Base ten is the only base in which we count out loud in a way that is even close to okay. Out loud nondenary (non-base-ten) counting makes us all sound like false beginners who can read out the letters of a word in the target language, and even understand the…

By ‘a math teacher’, I mean anyone teaching math, including a home schooler. I am not talking about a math teacher who is teaching computer science or some other subject. In computer science it often makes sense to pronounce binary numbers like telephone numbers; a mere series of numerals. Why current pronunciation systems for binary are inadequate for the math classroom. Let’s…

In schools and universities around the world, students are often invited or required to do arithmetic in base two, and/or in base eight. The students are often explicitly asked to compare base two or base eight with base ten. …