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2d Count in binary,say, impossible at the outset (5)
B?S?E
28d Big guns and pistol turned over by Irish soldier (9)
I?R?G?L?R

I have put BASTE & IRREGULAR

Any explanations/answers would be very welcome!

2dn is Basie, as in Count Basie.

28 Royal Artillery are the big guns, LUGER is the pistol - "turned over" by IRish. An irregular is a type of soldier.

Thank you both for your quick replies. I didn't know irregular as a soldier.