Help a newbie with Z80?

I am building a plain Z80 micro using the plans from a very old mag, except
that I am using a pair of 32 k static rams rather than a zillion of the 1k
x
8 chips they used to have.  In fact, instead of taking up a whole chassis
this one will fit on one little 44 pin card - technology marches on.

Anyway, I am building it to fit a monitor that was written by the local
club
(long gone) but it was written for an 8080.  From my reading, the Z80 will
run fine on the binary code output by an 8080 assembler.  Correct? or not.

At this point, I would rather have a minimum number of variables and I
know
that this eprom will boot up an 8080 system like mine.  Once I get a live
box, then I can start writing my own monitor.

Don't have a whole lot of info on the Z80 hardware, other than the pinout
and instruction set since the books went out of print back in the dark
ages.

Anyone clue me in as to 8080 binary code on the Z80?

Thanks
B