Try a heavier power supply.
Also, if you are not using decoupling and bypass capacitors, that will be a significant problem.
Surely you have a small bypass cap for each chip's power connection. But then you also need to scatter electrolytic caps around your circuit. A 10uF for each chip would be good but you might get away with fewer.
Each breadboard should also have at least 100uF where the power enters the board.
And any centralized power distribution point should have some significant capacitance, too, especially if it's more than a few inches from the psu.
I hope you're not going to try to run this at any high speed.
Also, if you are not using decoupling and bypass capacitors, that will be a significant problem.
Surely you have a small bypass cap for each chip's power connection. But then you also need to scatter electrolytic caps around your circuit. A 10uF for each chip would be good but you might get away with fewer.
Each breadboard should also have at least 100uF where the power enters the board.
And any centralized power distribution point should have some significant capacitance, too, especially if it's more than a few inches from the psu.
I hope you're not going to try to run this at any high speed.