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Data Acquisition

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The conversion between binary and hexadecimal is effected by modifying Table F.3 tothe table following:F.5 Octal Table F.6Relationship between decimal, binary, and hexadecimal numbersAs can be seen from the table, the binary numbers are grouped in fours for the largestsingle digit hexadecimal character or symbol. A similar approach, of grouping bits infours, is followed in expressing a binary number as a hexadecimal number.In converting the binary number 1000010011110111 2 to its hexadecimal equivalent, thefollowing procedure should be adopted. First, break up the binary number into groups offour commencing from the least significant bit. Then equate the equivalent hex symbol toit (derived from Table F.6 above).1000010011110111 becomes:1000 … 0100 … 1111 … 0111 28 4 F 7 16Or 8 4 F 7 16In order to convert a hexadecimal number back to binary the procedure used abovemust be reversed.For example, in converting from C9A4 to binary this becomes:C ... 9 ... A ... 4 161100 … 1001 ... 1010 ... 0100 2Or 1100100110100100 2Some of the older computer systems used octal for their coding. This uses the sequence ofsymbols:

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