Can Arduino power and hookup to logic chips?
The "5V" pin provides 5V from the board. The "3.3V" pin provides 3.3V from the board. See the datasheet(s) as to which you can/should connect to Vdd. One of the "GND" pins (doesn't matter which) connects to Vss. Don't forget to tie unused inputs on the logic chip either high or low.

And don't connect a 5V output to a 3.3V input.