First thought was that you could use a PIC (or similar micro) to perform the translation.
While that would certainly work, the link you provided seems much simpler. The little D/Q boxes are flip flops - The Q (the output) latches to D's (the input) logic state on a clock signal. The arrow-ish symbols or XOR gates. If you're a programmer, at this point you can probably work your way though the logic
You should be able to build the whole thing with 2 ICs (one for the flip flops and one for the XOR gates).