You will observe that the controlling signals are the same. The primary differences are:
- that the TPIC6B595 has open drain outputs rather than fully buffered/driven outputs so it can sink current, but cannot source it.
- The pin out varies between the two chips (and some pins are given different names (such as OE becomes G).
If you are using the PICAXE X1 or X2 parts then the inbuilt commands SHIFTOUT can control the chip.
For other PICAXE parts see the bit-bashed code examples provided in the PICAXE manual 2 under the SHIFTOUT command.