Assume a $2^20$ byte memory.

a$)$ What are the lowest and highest addresses if memory is byte addressable?

b$)$ What are the lowest and highest addresses if memory is word addressable, assuming a $16-$bit word?

a$)$ How many bits are needed for the opcode?

b$)$ How many bits are left for the address part of the instruction?

c$)$ What is the maximum allowable size for memory?