Binary, Denary, hexadecimal and base 10 . By Tim Conlan. Converting between binary and hexadecimal.
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BC: to do this you must first know what each letter represents, B is 11 and C is 12, you need to separate the 8 bit into two nibbles. 11 is 1011 and 12 1100, so the full number is 10111100 and from here on converting back into base 10 Is simple, 128 64 32 16 8 4 2 1.
Large binary numbers are quite difficult to remember and when programmers work with these values they need something that is easier to recognise and appreciate. Converting everything from base 2 to base 10 and back is quite complex and we need something that still uses base 2 but is easier to understand,, since a byte as 8 bits it easily splits into 2 nibbles with 4 bits each. If we look at our column headings for a 4-bit number we see that we can represent the range of numbers 0 to 15