In my previous post we learnt the fundamental concepts of how binary could be used to represent real numbers (i.e. numbers with a fractional component). When it comes to storing these numbers though there are two major approaches in modern computing. These are Fixed Point Notation and Floating Point Notation. In today’s post, we continue to build our background computer … [Read more...]

## Divide and Conquer: A Four Step Process To Simplify Binary Division

Division is probably the hardest of the four basic arithmetic operations. In this post we walk through an easy to follow, step-by-step process that you can use to divide any two binary numbers. … [Read more...]

## Why Binary Multiplication May Not Be As Complicated As You Think

Welcome to the next post in my series on binary numbers and binary arithmetic. In todays post we’re again going to build on what we have learnt in my previous posts on binary addition and binary subtraction and see how we can perform multiplication in binary. … [Read more...]

## How To Convert Between Binary and Decimal Fractions

In previous posts we've seen how we can convert whole numbers from decimal to binary notation and back again but in all my posts so far we've only looked at integer (or whole) numbers. What if we wanted to represent real numbers instead? What if we wanted to represent numbers with fractional parts? In todays post we take a look at binary and decimal fractions. … [Read more...]

## Binary Overflow

Before we move on, I just wanted to take a moment to look at another peculiarity of using binary numbers, the concept of wrap-around. … [Read more...]