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Converting Oct/Hex to Binary

Converting Binary to Octal

Group the digits by three, starting from the right, and convert the sections to octal.

Converting Octal to Binary

Simply expand each number into its binary equivalent and squish the results together.

Converting Binary to Hex

First, recall counting to 15 in hex (the base 16 number system) is as follows: 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

So $47_{10} = (16^1 \times 2) + (16^0 \times 15) = 2F_{16}$

Now, to convert binary to Hex, group the digits by four, starting from the right, and convert the decimal equivalent of the grouping to hex.

Converting Hex to Binary

Similarly to octal to binary, simply take each number into its binary equivalent and squish the results together.

Tagged as computer-science

Date published - November 24, 2013