Conversions in Computing

Converting between Denary & Binary

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• When converting from denary to binary, you figure out which of the numbers is the highest and goes into the number you're trying to convert.
• You then subtract the total you're trying to make from that number - and you try to find the highest number that goes into that one.
• You continue to do this until you have the full number.
• When converting binary back into denary, you simply line up the digits into the table (Shown opposite) and add all the numbers that line up with the ones.

Converting between Binary & Hexadecimal

• A hex digit can be represented as any of these 16 digits (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F)
• To convert into hexadecimal from binary, you need to separate the digits into blocks of 4 and convert them into denary. From there you simply put the two digits together.
• To convert from hexadecimal into denary (via binary) you simply separate the two digits and find their binary equivalents, then convert those back into denary.
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