Like Arik says the PAL22V10 is a logic IC, which you have to program like an EEPROM. You'll have to write a program which represents the internal logic in some awkward HDL (Hardware Description Language), which you then program into the device using a hardware programmer. You don't want to do all that.
If you were attracted by the simplicity of the schematic you may look out for a microcontroller solution. The PAL22V10 is an old beast, and not so user-friendly, but today's microcontrollers are very easy to write a program for and to get that program into the device.
If you want to try it without microcontroller, but with commonly available components, then there's this electronic die project.