I'm using an Philips 80C552 microcontroller (8051 derivative) with 32KB ROM (Program memory) and 32 KB RAM (Data memory)

The format is the standard Intel 8051 HEX file. Not sure what are you asking me.

Yes, i think the HEX to BIN conversion is good, i checked the result and it seems okay. Anyway cannot be 100% sure cause i'm working under big pressure cause my time is very very tight (my final exam is coming soon).

If you could help me i would be very grateful.