<pclass="blog_content">The image above is an example of a table we can use to convert <spanclass="moreInfo">8-bit binary numbers<spanclass="extraInfo">referred to as bytes</span></span> to denary.
Each individual bit is put into each column in the same order as written. Any columns with a 1 should have their values added together.
The resulting value is the denary conversion.
To convert from denary to binary, take the number you wish to convert and starting in the left most column try subtracting the number from
the one you wish to convert. If it can be done without producing a negative put a 1 in the column, if you cannot, put a 0. Once the remainder is 0,
add 0s to any remaining columns. The resulting number is the binary conversion.
If you want to convert above 8-bit numbers, each column's denary value is calculated as 2 raised to the power of the column starting from the right and at 0.
<pclass="blog_content">In primary school we are taught to use long addition to sum numbers on paper. The practice relies on the concept of carrying digits to
other columns when the simple addition excedes 10. We can use the same technique to add binary numbers just instead of carrying when
exceding 10, we do this at 1. The best way to visualise this is with a couple of rules whenn carrying. First, when adding two 1s in a column,
the answer is 0 carry 1. Secondly, when adding three 1s in a column (from a previous carry), the answer is 1 carry 1.</p>
<pclass="blog_content">Subtraction in binary is a little hard as it is not as intuitive as the addition. To subtract two binary numbers we use a method known as
2's complement. 2's complement is a way of expressing a binary number as a negative. After doing this conversion, you can just add the two
numbers and it will give the same answer as if the two numbers were subtracted in denary. To find 2's complement, you begin by inverting
each bit in the number (if the bit is a 0 it becomes 1, and vice versa) and then add 1.</p>
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