Split hex half-bytes to character -- MIDRANGE-L

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I'm positive I'm using the wrong terminology in trying to explain what I am trying to do, and that is likely the reason why google was not my friend.

I'm using SQL to calculate an MD5 checksum, and it returns a 16-byte hex value. I would like to convert that into a 32-byte character value that "splits" the hex half-bytes to characters. E.g.:

5B6EDD5760C6B201
04FCEF2EAD7F6D19

into

50B46FECDEDF527E6A0DC76FB62D0119

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