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In programming, sometimes, it can be useful to represent in a compact way long strings of bits.  For this aim, we use hexadecimal notation, i.e. the notation for numbers in base $16$. This notation system uses sixteen symbols, i.e. the usual symbols 0-9 to represent numbers from 0 to 9 and then the letters A, B, C, D, E, F for the numbers from ten to sixteen.  \\  Each hexadecimal digit represents a nibble, {\em nibble},  i.e. four bits, as shown in the following table \begin{center}  \begin{tabular}{|c|c|c|c|}  \hline