Mr. RK had a previous thread "BJT as Switch", and this thread faded out at post #137. This thread, so far, suggests a repeat performance. In BJT as switch, post 124 instructed the use of Ic/Ib as a criterion for establishing base drive requirements and for a BC337 this ratio was 10:1.
Again, for a TIP 127, the data sheet gives the Ic/Ib criterion as 250:1. So for an Ic of 5 amp, Ib is 20 milliamp.
This gives a base to ground resistor of around 500 ohm for a 12 volt supply rail. Problem from post #1 and #2 now solved.
Now we find that the LED are to be (presumably) pulse driven because "it is for 'flashing", and we also know the SMPS is a 12V at 4 Amp unit. It is unclear exactly what this SMPS can do. Post #23 says that the method of current limit used in 'BJT as switch' was (resistors ?) and was only 250 mA so that was OK. So in this new invention, in order to control the brightness, use will be made of the SMPS but it wont be PWM for some unexplained reason.
It now is clear that there is no pre-stated specification for this new request of this thread.
It is clear that before any progress is made, the requirements need to be stated;
What is the invention for which the thread has been started?
If it is a LED display, what type of LED will be used and is the dat sheet been read by the OP?
If the LED is to be current controlled, will the SMPS be capable of this mode of operation?
If the SMPS is a commercial design, then what is the type number and manufacturer?
If the SMPS is a commercial type, has the data sheet been read by the OP?
If the invention is to be a strobed type of display, then how is the strobing to be implemented?
If clarification is necessary, have a look at posts 23 and 24 above, then compare with posts 13 and 14 in 'BJT as Switch'