Ahh.. Here I thought the "nighthawk" was a much later model of honda's.
Well, yes and no...
The Nighthawk model was a mix of old and new (for the time) depending on displacement and model year.
The 750 version was equipped with the 'new' DOHC motor. The first-year ('82) 650 model was equipped with the 'old' SOHC motor. The '83 650s came with an all-new DOHC 650 motor (which grew into the 700 Nighthawk S a year or two later and eventually, I think, grew into the 750 Nighthawk motor of the '90s). A 550 DOHC version was available for a year or two in the mid-80s too. No relation (except displacement) to the earlier SOHC 550/500 motors.
In the early 80s, there was also a 400 & later a 450 Nighthawk twin.
In the 90s & early 00s, there was the above-mentioned 750 Nighthawk and a 250 Nighthawk twin that used the same single-carb motor as the 250 Rebel.