## Abstract

A wide range of numbering systems is in use today, the most common being the **decimal** or **denary system**. This system utilises the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. It is important to note that the **first** number is zero, and that the **tenth** number is nine. The *total* number of digits used in the system is known as the **base** or **radix** of the system; the radix of the decimal system is ten. A numbering system widely used in association with computers is the **octal system** which has a radix of eight and uses the eight characters 0, 1, 2, 3, 4, 5, 6, 7. Yet another system which is widely used in association with microprocessors is the **hexadecimal system** (abbreviated to **hex**) having a radix of sixteen.

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