Binary Explained
Before we can talk about Binary numbers, I need to explain Decimal
numbers. Decimal numbers are also known as denary numbers and Base
ten. Ten is the bases of decimal numbers simply because we are used to
using our fingers to count. By adding a place value determines the
meaning of the number, for instance, 192 is a smaller number than 219
although the same numbers have been used. To produce a number in
decimal we use one of the ten digits. These are:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9
Below is a table to show how the decimal 235 is made up.
Hundredths
Binary numbers work in a different way, they use a base number of two
and so they only use two symbols, 1 and 0. Below is a table to explain
how the decimal equivalent would be written.
This is how binary works. Because the binary system has a base of two,
this means that each place number is a power of two. The table below
shows the system.
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Table 1
If we look at the table and take the furthest column to the right and
work our way the left, we see that:
2 to the power of 0 is = 1
2 to the power of 1 is = 2 (2x1 = 2)
2 to the power of 2 is = 4 (2x2 = 4)
2 to the power of 3 is = 8 (2x2x2 = 8)
2 to the power of 4 is = 16 (2x2x2x2 = 16)
2 to the power of 5 is = 32 (2x2x2x2x2 = 32)
…….and so on.
Now that the table is done we can start converting from binary numbers
to decimal. What we can say next is add a new line to the bottom of
the existing table and if there is a 1 in the box then that number
will be added to the total number (in decimal), this can be seen in
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