diagnosing old computer parts

[Kipper Klank]

 okay so I have this old z80 based computer and the clock rate is 7.3 megahertz.  I'm trying I'm trying to see if information is being sent and received on the data bus. people have told me to get a logic analyzer but I don't want one of those I'm thinking about getting an oscilloscope because it has much more possibilities than one of those.  I found an old analog oscilloscope  that's a nice shape and it's fully functional. probably from the late sixties to early seventies with a maximum bandwidth of 15 megahertz which is over the range of the clock rate so it should be readable.  would this be a good choice for me to see if information is being sent and received?   I'm assuming I would see a square tooth wave in variation? (Aka binary)