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There is no such thing as extendible (sic) binary code. However, there are two known variants:

eXtendable Binary (XB) is a universal file format used for serialising binary trees.

Extended Binary Coded Decimal Interchange Code (EBCDIC) was an 8-bit character encoding used by IBM in the 1960's. It's a non-standard encoding that was used by IBM prior to them switching to ASCII peripherals.

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