It is my project and I kind of figured out the following ways to do it but they are very lengthy.
I don't want to use micro controllers because that is too easy.

1)Using a dip switch to enter BCD values into the magnitude comparator.
2)Making another clock for Alarm and after pausing it(setting),comparing it's value with the real time clock.

I was hoping for some other suggestions which hopefully do not include that much complexity because I have to design on breadboard rather than pcb.
This thread is just to have a discussion and not the schematic from you guys.(to avoid confusion...)

Any help is appreciated.

Best Regards,
Shahid Maqsood

 

If you have 6 digitals 7-seg led displays then you can using 6 Thumbwheel Switch to do the comparing job, one Thumbwheel Switch comparing to one 4 bits BCD code, you can think what to do.