**The Uniqueness of 16…**

The first four odd numbers added – 1+3+5+7 equals 16.

A compass rose is divided into 16 points.

Chessboards have 16 black and 16 white pieces.

They are divided into four quadrants of 16 squares each.

Bookbinders use a standard format of sixteenmo, where the paper is divided into sixteen leaves.

Caterpillars usually have 16 legs! (But only 6 when they become butterflies).

Pre-decimal Imperial weights and measures used 16 ounces to a pound.

computers can only store and manipulate data in a binary base – base 2.

The earliest computer programs were written in binary by highly trained mathematicians. They were, however, highly prone to errors….

A method had to be found to “convert” large binary numbers to something that humans find easier to read and manipulate.

As base 2 does not convert to base 10 very easily, we use base 16 – hexadecimal – instead

Each Hexadecimal column uses a power of 16.

65536 4096 256 16 1

164 163 162 161 160

1 8 A 0 9 *(these numbers are supposed to be spread out more like 1 under 164 and 8 *

under 163)

But we only have 10 unique symbols using the digits 0 to 9.

So to make up 16 symbols, we use the letters A – F as well.

The above number is worth 100873 in a decimal base.

We get this by multiplying and adding…..

(1x65536) + (8x4096) + (10x256) + (0x16) + 9